Numerical study of chiral magnetic effect in quenched SU(2) lattice gauge theory (2009)
Buividovich, P. V., Chernodub, M. N., Luschevskaya, E. V., Polikarpov, M. I.
A possible experimental observation of the chiral magnetic effect in heavy ion collisions at RHIC was recently reported by the STAR Collaboration. We study signatures of this effect in SU(2) lattice...
Bornyakov, V. G., Horsley, R., Morozov, S. M., Nakamura, Y., Polikarpov, M. I., Rakow, P. E. L., ...
The critical temperature and the nature of the QCD finite temperature phase transition are determined for Nf=2 dynamical flavors of nonperturbatively improved Wilson fermions. The calculations are...
Quark electric dipole moment induced by magnetic field (2009)
Buividovich, P. V., Chernodub, M. N., Luschevskaya, E. V., Polikarpov, M. I.
We show numerically that quarks develop an electric dipole moment in the direction of a sufficiently intense magnetic field due to local fluctuations of topological charge. This anomalous CP-odd...
Lattice QCD in strong magnetic fields (2009)
Buividovich, P. V., Chernodub, M. N., Luschevskaya, E. V., Polikarpov, M. I.
Vacuum of Quantum Chromodynamics in very strong (hadron-scale) magnetic fields exhibits many interesting nonperturbative effects. Some of these effects can be studied with the help of lattice...
Numerical evidence of chiral magnetic effect in lattice gauge theory (2009)
Buividovich, P. V., Chernodub, M. N., Luschevskaya, E. V., Polikarpov, M. I.
The chiral magnetic effect is the generation of electric current of quarks along external magnetic field in the background of topologically nontrivial gluon fields. There is a recent evidence that...
Chiral magnetization of non-Abelian vacuum: a lattice study (2009)
Buividovich, P. V., Chernodub, M. N., Luschevskaya, E. V., Polikarpov, M. I.
The chiral magnetization properties of cold and hot vacua are studied using quenched simulations in lattice Yang-Mills theory. In weak external magnetic fields the magnetization is proportional to...
Buividovich, P. V., Chernodub, M. N., Luschevskaya, E. V., Polikarpov, M. I.
We investigate the effect of a uniform background magnetic field on the chiral symmetry breaking in quenched SU(2) gauge theory on the lattice. In agreement with the predictions of the chiral...
Entanglement entropy in lattice gauge theories (2008)
Buividovich, P. V., Polikarpov, M. I.
We report on the recent progress in theoretical and numerical studies of entanglement entropy in lattice gauge theories. It is shown that the concept of quantum entanglement between gauge fields in...
Buividovich, P. V., Luschevskaya, E. V., Polikarpov, M. I.
The spectrum of low-lying eigenvalues of overlap Dirac operator in quenched SU(2) lattice gauge theory with tadpole-improved Symanzik action is studied at finite temperatures in the vicinity of the...
Bornyakov, V. G., Luschevskaya, E. V., Morozov, S. M., Polikarpov, M. I., Müller-Preussker, M.
We study SU(2) gluodynamics at finite temperature on both sides of the deconfining phase transition. We create the lattice ensembles using the tree-level tadpole-improved Symanzik action. The...
Entanglement entropy in gauge theories and the holographic principle for electric strings (2008)
Buividovich, P. V., Polikarpov, M. I.
We consider quantum entanglement between gauge fields in some region of space A and its complement B. It is argued that the Hilbert space of physical states of gauge theories cannot be decomposed...
Numerical study of entanglement entropy in SU(2) lattice gauge theory (2008)
Buividovich, P. V., Polikarpov, M. I.
The entropy of entanglement between a three-dimensional slab of thickness l and its complement is studied numerically for four-dimensional SU(2) lattice gauge theory. We find a signature of a...
Z2 electric strings and center vortices in SU(2) lattice gauge theory (2007)
Polikarpov, M. I., Buividovich, P. V.
We study the representations of SU(2) lattice gauge theory in terms of sums over the worldsheets of center vortices and Z2 electric strings, i.e. surfaces which open on the Wilson loop. It is shown...
Finite temperature Lattice QCD with two flavors of improved Wilson fermions (2007)
Bornyakov, V. G., Morozov, S. M., Nakamura, Y., Polikarpov, M. I., Schierholz, G., Suzuki, T.
We present results of finite temperature QCD from N_f=2 flavors of non-perturbatively improved Wilson fermions on lattices with N_t=8, 10 and 12. The transition temperature T_c is determined for the...
Bornyakov, V. G., Luschevskaya, E. V., Morozov, S. M., Polikarpov, M. I., Ilgenfritz, E. M., Muller-Preussker, M.
We study SU(2) gluodynamics at finite temperature near the deconfining phase transition. We create the lattice ensembles using the tadpole improved Luscher-Weisz action. The overlap Dirac operator is...
Rigidity and percolation of center vortices (2007)
Buividovich, P. V., Polikarpov, M. I., Zakharov, V. I.
Effective action of center vortices in SU(2) lattice gauge theory is investigated by studying the correlation between the action density on their worldsheets and their geometric properties. It turns...
Center vortices as rigid strings (2007)
Buividovich, P. V., Polikarpov, M. I.
It is shown that the action associated with center vortices in SU(2) lattice gauge theory is strongly correlated with extrinsic and internal curvatures of the vortex surface and that this correlation...
Random walks of Wilson loops in the screening regime (2007)
Buividovich, P. V., Polikarpov, M. I.
Dynamics of Wilson loops in pure Yang-Mills theories is analyzed in terms of random walks of the holonomies of the gauge field on the gauge group manifold. It is shown that such random walks should...
Once more on the interrelation between Abelian monopoles and P-vortices in SU(2) LGT (2006)
Boyko, P. Yu., Bornyakov, V. G., Kovalenko, A. V., Martemyanov, B. V., Müller-Preussker, M., ...
We study the properties of configurations from which P-vortices on one hand or Abelian monopoles on the other hand have been removed. We confirm the loss of confinement in both cases and investigate...
Peculiarities in the Spectrum of the Adjoint Scalar Kinetic Operator in Yang-Mills Theory (2006)
Greensite, J., Kovalenko, A. V., Olejnik, S., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We study the spectrum of low-lying eigenmodes of the kinetic operator for scalar particles, in the color adjoint representation of Yang-Mills theory. The kinetic operator is the covariant Laplacian,...
On topological properties of vacuum defects in lattice Yang-Mills theories (2005)
Kovalenko, A. V., Morozov, S. M., Polikarpov, M. I., Zakharov, V. I.
We study correlations between low-lying modes of the overlap Dirac operator and vacuum defects, center vortices and three-dimensional volumes, in lattice SU(2) gluodynamics. The low-lying modes are...
New features of the maximal abelian projection (2005)
Bornyakov, V. G., Polikarpov, M. I., Schierholz, G., Suzuki, T., Syritsyn, S. N.
After fixing the Maximal Abelian gauge in SU(2) lattice gauge theory we decompose the nonabelian gauge field into the so called monopole field and the modified nonabelian field with monopoles...
Localization of Low Lying Eigenmodes for Chirally Symmetric Dirac Operator (2005)
Polikarpov, M. I., Gubarev, F. V., Morozov, S. M., Zakharov, V. I.
We consider properties of zero and near-zero modes for overlap fermion operator in SU(2) lattice gluodynamics. The density of the states is of the order of Lambda(QCD) while the localization volume...
Eigenmodes of covariant Laplacian in SU(2) Yang-Mills vacuum: higher representations (2005)
Greensite, J., Olejnik, S., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
The study of lowest eigenmodes of the covariant Laplacian in fundamental representation of the gauge group revealed their specific localization properties. These may bear information on confinement...
Geometry of three dimensional vacuum domains in four dimensional SU(2) gluodynamics (2005)
Kovalenko, A. V., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We review briefly recent results of lattice simulations on 3d domains in the vacuum state of SU(2) gluodynamics. The defects are defined as unification of all the negative links in central projection...
Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges (2005)
Chernodub, M. N., Ishiguro, Katsuya, Mori, Yoshihiro, Nakamura, Yoshifumi, Polikarpov, M. I., Sekido, Toru, ...
The vacuum type of SU(2) gluodynamics is studied using Monte Carlo simulations in maximally Abelian (MA) gauge and in Landau (LA) gauge, where the dual Meissner effect is observed to work. The dual...
Critical temperature in QCD with two flavors of dynamical quarks (2005)
Bornyakov, V. G., Chernodub, M. N., Mori, Y., Morozov, S. M., Nakamura, Y., Polikarpov, M. I., ...
We present results obtained in QCD with two flavors of non-perturbatively improved Wilson fermions at finite temperature on $16^3 \times 8$ and $24^3 \times 10$ lattices. We determine the transition...
Towards SU(2) invariant formulation of the monopole confinement mechanism (2005)
Ishiguro, Katsuya, Mori, Yoshihiro, Nakamura, Yoshifumi, Sekido, Toru, Suzuki, Tsuneo, Chernodub, M. N., ...
The type of the vacuum is studied numerically in the maximally Abelian (MA) gauge and in the Landau (LA) gauge of SU(2) gluodynamics. The type of the vacuum is determined by a ratio between the dual...
Localized eigenmodes of the covariant lattice Laplacian (2005)
Greensite, J., Olejnik, S., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We study numerically the eigenmode spectrum of the covariant lattice Laplacian, in the fundamental SU(2) color group representation. It is found that eigenmodes at the lower and upper ends of the...
Interactions of confining strings in SU(3) gluodynamics (2005)
Bornyakov, V. G., Boyko, P. Yu., Chernodub, M. N., Polikarpov, M. I.
We study the interaction energy of the confining strings in the static rectangular tetraquark system in SU(3) gluodynamics. Using a two-state approximation we calculate the energy eigenvalues and...
Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges (2005)
Chernodub, M. N., Ishiguro, Katsuya, Mori, Yoshihiro, Nakamura, Yoshifumi, Polikarpov, M. I., Sekido, Toru, ...
The vacuum type of SU(2) gluodynamics is studied using Monte-Carlo simulations in maximally Abelian (MA) gauge and in Landau (LA) gauge, where the dual Meissner effect is observed to work. The dual...
Evidence for fine tuning of fermionic modes in lattice gluodynamics (2005)
Gubarev, F. V., Morozov, S. M., Polikarpov, M. I., Zakharov, V. I.
We consider properties of zero and near-zero fermionic modes in lattice gluodynamics. The modes are known to be sensitive to the topology of the underlying gluonic fields in the quantum vacuum state...
Localized eigenmodes of covariant Laplacians in the Yang-Mills vacuum (2005)
Greensite, J., Olejnik, S., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
As a probe of the Yang-Mills vacuum, we study numerically the eigenmode spectrum of the covariant lattice Laplacian operator. We find that the eigenmodes at the low and high ends of the spectrum are...
Geometry of three dimensional vacuum domains in four dimensional SU(2) gluodynamics (2005)
A. V. Kovalenko, M. I. Polikarpov, S. N. Syritsyn, V. I. Zakharov
We review briefly recent results of lattice simulations on 3d domains in the vacuum state of SU(2) gluodynamics. The defects are defined as unification of all the negative links in central projection...
Finite temperature QCD with two flavors of dynamical quarks on 24^3*10 lattice (2004)
Nakamura, Y., Bornyakov, V. G., Chernodub, M. N., Mori, Y., Morozov, S. M., Polikarpov, M. I., ...
We present results obtained in QCD with two flavors of non-perturbatively improved Wilson fermions at finite temperature on $16^3 \times 8$ and $24^3 \times 10$ lattices. We determine the transition...
Three dimensional vacuum domains in four dimensional SU(2) gluodynamics (2004)
Kovalenko, A. V., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
Performing lattice simulations of the four dimensional SU(2)gluodynamics we find evidence for existence of three-dimensional domains whose total volume scales in physical units. Technically, the...
On projection (in)dependence of monopole condensate in lattice SU(2) gauge theory (2004)
Belavin, V. A., Chernodub, M. N., Polikarpov, M. I.
We study the temperature dependence of the monopole condensate in different Abelian projections of the SU(2) lattice gauge theory. Using the Frohlich-Marchetti monopole creation operator we show...
Properties of P-vortex and monopole clusters in lattice SU(2) gauge theory (2004)
Kovalenko, A. V., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We study the action and geometry of P-vortices, discriminating between the percolating and finite clusters. We also discuss the interrelation of the monopoles and P-vortices. To define P-vortices we...
A novel probe of the vacuum of the lattice gluodynamics (2004)
Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We introduce a notion of minimal number of negative links on the lattice for a given original configuration of SU(2) fields. Negative links correspond to a large potential, not necessarily large...
Bornyakov, V. G., Chernodub, M. N., Ichie, H., Koma, Y., Mori, Y., Polikarpov, M. I., ...
We study the Abelian flux tube profile of mesonic and the baryonic configurations of static quarks below and above the finite-temperature transition in $N_f=2$ full QCD. To reduce effects of...
Baryonic Flux in Quenched and Two-Flavor Dynamical QCD after Abelian projection (2004)
Bornyakov, V. G., Ichie, H., Mori, Y., Pleiter, D., Polikarpov, M. I., Schierholz, G., ...
We study the distribution of color electric flux of the three-quark system in quenched and full QCD (with N_f = 2 flavors of dynamical quarks) at zero and finite temperature. To reduce ultra-violet...
Finite Temperature QCD with Two Flavors of Non-perturbatively Improved Wilson Fermions (2004)
Bornyakov, V. G., Chernodub, M. N., Ichie, H., Koma, Y., Mori, Y., Nakamura, Y., ...
We study QCD with two flavors of non-perturbatively improved Wilson fermions at finite temperature on the $16^3 8$ lattice. We determine the transition temperature at lattice spacings as small as $a...
Dynamics of monopoles and flux tubes in two-flavor dynamical QCD (2004)
Bornyakov, V. G., Ichie, H., Koma, Yoshiaki, Mori, Yoshihiro, Nakamura, Y., Pleiter, D., ...
We investigate the confining properties of the QCD vacuum with N f = 2 flavors of dynamical quarks, and compare the results with the properties of the quenched theory. We use nonperturbatively O...
Baryonic flux in quenched and two-flavor dynamical QCD after Abelian projection (2004)
Bornyakov, V.G., Ichie, H., Mori, Yoshihiro, Pleiter, D., Polikarpov, M.I., Schierholz, G., ...
We study the distribution of color electric flux of the three-quark system in quenched and full QCD (with Nf = 2 flavors of dynamical quarks) at zero and finite temperature. To reduce ultraviolet...
Dynamics of Monopoles and Flux Tubes in Two-Flavor Dynamical QCD (2003)
Bornyakov, V. G., Ichie, H., Koma, Y., Mori, Y., Nakamura, Y., Pleiter, D., ...
We investigate the confining properties of the QCD vacuum with $N_f=2$ flavors of dynamical quarks, and compare the results with the properties of the quenched theory. We use non-perturbatively...
Nakamura, Y., Bornyakov, V., Chernodub, M. N., Koma, Y., Mori, Y., Polikarpov, M. I., ...
We present results for QCD with $N_f=2$ flavors of dynamical quarks using nonperturbatively improved Wilson fermions at finite temperature on $16^3 \times 8$ and $24^3 \times 10$ lattices. We...
$q\bar q$ and $2q2\bar q$ systems in terms of P-vortices (2003)
Bornyakov, V. G., Kovalenko, A. V., Polikarpov, M. I., Sigaev, D. A.
We study the action and the energy densities of the confining string in the indirect Z(2) projection of SU(2) lattice gauge theory. We find that the width of the confining string is proportional to...
Self-tuning of the P-vortices (2003)
Gubarev, F. V., Kovalenko, A. V., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We observe that on the currently available lattices the non-Abelian action associated with the P-vortices is ultraviolet divergent. On the other hand, the total area of the vortices scales in...
Interplay of Monopoles and P-Vortices (2003)
Kovalenko, A. V., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We show that P-Vortices in the confinement phase of SU(2) lattice gauge theory form one large percolating (infrared) cluster and a number of small (ultraviolet) clusters. We discuss the interrelation...
Geometry of the monopole clusters at different scales (2003)
Bornyakov, V. G., Boyko, P. Yu., Polikarpov, M. I., Zakharov, V. I.
We present results of measurements of various geometrical characteristics of the monopole clusters in the maximally Abelian projection of SU(2) lattice gauge theory. We observe scaling for the...
Numerical study of gluon propagators in Maximally Abelian gauge (2003)
Bornyakov, V. G., Chernodub, M. N., Gubarev, F. V., Morozov, S. M., Polikarpov, M. I.
Propagators of diagonal and off-diagonal gluons are studied numerically in the Maximally Abelian gauge of the SU(2) lattice gauge theory. We have found the strong enhancement of the diagonal gluon in...
Monopole clusters at short and large distances (2003)
Bornyakov, V. G., Boyko, P. Yu., Polikarpov, M. I., Zakharov, V. I.
We present measurements of various geometrical characteristics of monopole clusters in SU(2) lattice gauge theory. The maximal Abelian projection is employed and both infinite, or percolating cluster...
Koma, Y., Koma, M., Suzuki, T., Polikarpov, M. I.
The structure of the flux-tube profile in Abelian-projected (AP) SU(2) gauge theory in the maximally Abelian gauge is studied. The connection between the AP flux tube and the classical flux-tube...
Bornyakov, V. G., Chernodub, M. N., Gubarev, F. V., Morozov, S. M., Polikarpov, M. I.
Propagators of the diagonal and the off-diagonal gluons are studied numerically in the Maximal Abelian gauge of SU(2) lattice gauge theory. It is found that in the infrared region the propagator of...
Fine tuned vortices in lattice SU(2) gluodynamics (2003)
Gubarev,F. V., Kovalenko,A. V., Polikarpov,M. I., Syritsyn,S. N., Zakharov,V. I.
We report measurements of the action associated with center vortices in the lattice SU(2) pure gauge theory. In the lattice units the excess of the action on the plaquettes belonging to the vortex is...
Monopole clusters at short and large distances (2003)
Bornyakov,V. G., Boyko,P. Yu., Polikarpov,M. I., Zakharov,V. I.
We present measurements of various geometrical characteristics of monopole clusters in SU(2) lattice gauge theory. The maximal Abelian projection is employed and both infinite, or percolating cluster...
Koma,Y., Koma,M., Suzuki,T., Polikarpov,M. I.
The structure of the flux-tube profile in Abelian-projected (AP) SU(2) gauge theory in the maximally Abelian gauge is studied. The connection between the AP flux tube and the classical flux-tube...
Fine tuned vortices in lattice SU(2) gluodynamics (2003)
Gubarev, F. V., Kovalenko, A. V., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We report measurements of the action associated with center vortices in the lattice SU(2) pure gauge theory. In the lattice units the excess of the action on the plaquettes belonging to the vortex is...
Monopole clusters at short and large distances (2003)
Bornyakov, V. G., Boyko, P. Yu., Polikarpov, M. I., Zakharov, V. I.
We present measurements of various geometrical characteristics of monopole clusters in SU(2) lattice gauge theory. The maximal Abelian projection is employed and both infinite, or percolating cluster...
Koma, Y., Koma, M., Suzuki, T., Polikarpov, M. I.
The structure of the flux-tube profile in Abelian-projected (AP) SU(2) gauge theory in the maximally Abelian gauge is studied. The connection between the AP flux tube and the classical flux-tube...
Monopole creation operators as confinement--deconfinement order parameters (2002)
Belavin, V. A., Chernodub, M. N., Polikarpov, M. I.
We study numerically two versions of the monopole creation operators proposed by Frohlich and Marchetti. The disadvantage of the old version of the monopole creation operator is due to visibility of...
Fine tuned vortices in lattice SU(2) gluodynamics (2002)
Gubarev, F. V., Kovalenko, A. V., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
We report measurements of the action associated with center vortices in SU(2) pure lattice gauge theory. In the lattice units the excess of the action on the plaquettes belonging to the vortex is...
P-vortices, nexuses and effects of Gribov copies in the center gauges (2002)
Bornyakov, V. G., Komarov, D. A., Polikarpov, M. I., Veselov, A. I.
We perform the careful study of the Gribov copies problem in SU(2) lattice gauge theory for maximal direct and maximal indirect center projections. We find that this problem is much more severe than...
A fresh look on the flux tube in Abelian-projected SU(2) gluodynamics (2002)
Koma, Y., Koma, M., Suzuki, T., Polikarpov, M. I.
We reconsider the properties of the $Q\bar{Q}$ flux tube within Abelian-projected SU(2) lattice gauge theory in terms of electric field and monopole current. In the maximal Abelian gauge we assess...
Geometry of percolating monopole clusters (2002)
Boyko, P. Yu., Polikarpov, M. I., Zakharov, V. I.
We perform detailed measurements of the geometrical characteristics of the percolating cluster of the magnetic monopole currents in the confining phase of the lattice SU(2) gluodynamics. The Maximal...
Gluon propagators in maximal abelian gauge of SU(2) lattice gauge theory (2002)
Bornyakov, V. G., Morozov, S. M., Polikarpov, M. I.
We study propagators of diagonal and off-diagonal gluons in the momentum space in maximal abelian gauge of SU(2) lattice gauge theory. Remaining U(1) degrees of freedom are fixed using Landau gauge....
Confining string and P-vortices in the indirect Z(2) projection of SU(2) lattice gauge theory (2002)
Bornyakov, V. G., Kovalenko, A. V., Polikarpov, M. I., Sigaev, D. A.
We study the distribution of P-vortices near the confining string in the indirect Z(2) projection of SU(2) lattice gauge theory. It occurs that the density of vortices is constant at large distances...
Confinement-deconfinement order parameters (2002)
Belavin, V. A., Chernodub, M. N., Polikarpov, M. I.
We study numerically the monopole creation operator proposed recently by Frohlich and Marchetti. The operator is defined with the help of a three dimensional model which generates random Mandelstam...
Heavy monopole potential in gluodynamics (2002)
Chernodub,M. N., Gubarev,F. V., Polikarpov,M. I., Zakharov,V. I.
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics introduced via the 't Hooft loop. At short distances, the heavy monopole potential is calculable from...
Anatomy of the lattice magnetic monopoles (2002)
Bornyakov,V. G., Chernodub,M. N., Gubarev,F. V., Polikarpov,M. I., Suzuki,T., Veselov,A. I., ...
We study the Abelian and non-Abelian action densitynear the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles...
Heavy monopole potential in gluodynamics (2002)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics introduced via the 't Hooft loop. At short distances, the heavy monopole potential is calculable from...
Anatomy of the lattice magnetic monopoles (2002)
Bornyakov, V. G., Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Suzuki, T., Veselov, A. I., ...
We study the Abelian and non-Abelian action densitynear the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles...
Theta term instead of the Higgs field in Electroweak theory (2001)
Polikarpov, M. I., Veselov, A. I., Zubkov, M. A.
We consider the electroweak theory without fundamental scalar field. The topological excitation of the SU(2)*U(1) theory (the monopole) plays the role of the Higgs field, it carries the SU(2)*U(1)...
Monopoles and hybrids in Abelian projection of lattice QCD (2001)
Boyko, P. Yu., Chernodub, M. N., Kovalenko, A. V., Morozov, S. M., Polikarpov, M. I.
We study topological defects constructed from diagonal and non-diagonal gluons in Abelian projection of zero temperature lattice QCD. We compare results obtained in the quenched and non-quenched...
Numerical study of Frohlich and Marchetti monopole creation operator (2001)
Belavin, V. A., Chernodub, M. N., Polikarpov, M. I.
The monopole creation operator proposed recently by Frohlich and Marchetti is investigated in the Abelian Higgs model with compact gauge field. We show numerically that the creation operator detects...
Heavy monopole potential in gluodynamics (2001)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics introduced via the 't Hooft loop. At short distances, the heavy monopole potential is calculable from...
Topics of monopole dynamics in gluodynamics (2001)
Suzuki, T., Koma, Y., Ito, S., Park, T. W., Polikarpov, M. I., ...
Three topics of monopole dynamics in gluodynamics are presented. 1)Gauge (in)dependence of the monopole effective action (S.Ito, T.W.Park, T.Suzuki): Four different abelian projections are studied....
Anatomy of Isolated Monopole in Abelian Projection of SU(2) Lattice Gauge Theory (2001)
Belavin, V. A., Polikarpov, M. I., Veselov, A. I.
We study the structure of the isolated static monopoles in the maximal Abelian projection of SU(2) lattice gluodynamics. Our estimation of the monopole radius is $ \approx 0.06 fm$.
Anatomy of the lattice magnetic monopoles (2001)
Bornyakov, V. G., Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Suzuki, T., Veselov, A. I., ...
We study the Abelian and non-Abelian action densitynear the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles...
Monopoles and Confining Strings in QCD (2001)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We review the recent results in the physics of the magnetic monopoles in gluodynamics and a dual formulation of non-Abelian theories, relevant to the physics of the confinement. It occurs that the...
On the heavy monopole potential in gluodynamics (2001)
Chernodub,M. N., Gubarev,F. V., Polikarpov,M. I., Zakharov,V. I.
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics introduced via the 't Hooft loop. At short distances, the heavy monopole potential is calculable from...
Predicting the inter-monopole potential in gluodynamics (2001)
Chernodub,M. N., Gubarev,F. V., Polikarpov,M. I., Zakharov,V. I.
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics. The interaction energy is defined, as usual, in terms of the 't Hooft loop. At short distances, the...
On the heavy monopole potential in gluodynamics (2001)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics introduced via the 't Hooft loop. At short distances, the heavy monopole potential is calculable from...
Predicting the inter-monopole potential in gluodynamics (2001)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics. The interaction energy is defined, as usual, in terms of the 't Hooft loop. At short distances, the...
On the heavy monopole potential in gluodynamics (2000)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics introduced via the 't Hooft loop. At short distances, the heavy monopole potential is calculable from...
Towards Abelian-like formulation of the dual gluodynamics (2000)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We consider gluodynamics in case when both color and magnetic charges are present. We discuss first short distance physics, where only the fundamental |Q|=1 monopoles introduced via the `t Hooft loop...
P-vortices and Drama of Gribov Copies (2000)
Bornyakov, V. G., Komarov, D. A., Polikarpov, M. I.
We present results of the careful study of the Gribov copies problem in SU(2) lattice gauge theory for the direct maximal center projection widely used in confinement studies. Applying simulated...
Magnetic monopoles, alive (2000)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We review recent developments in understanding the physics of the magnetic monopoles in unbroken non-Abelian gauge theories. Since numerical data on the monopoles are accumulated in lattice...
An Almost Perfect Quantum Lattice Action for Low-energy SU(2) Gluodynamics (2000)
Chernodub, M. N., Fujimoto, S., Kato, S., Murata, M., Polikarpov, M. I., Suzuki, T.
We study various representations of infrared effective theory of SU(2) Gluodynamics as a (quantum) perfect lattice action. In particular we derive a monopole action and a string model of hadrons from...
Dirac Strings and Monopoles in the Continuum Limit of SU(2) Lattice Gauge Theory (2000)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
Magnetic monopoles are known to emerge as leading non-perturbative fluctuations in the lattice version of non-Abelian gauge theories in some gauges. In terms of the Dirac quantization condition,...
Confinement and short distance physics (2000)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We consider non-perturbative effects at short distances in theories with confinement. The analysis is straightforward within the Abelian models in which the confinement arises on classical level. In...
P-vortices, nexuses and effects of gauge copies (2000)
Bornyakov, V. G., Komarov, D. A., Polikarpov, M. I., Veselov, A. I.
We perform the careful study of the gauge copies problem for the direct center projection in SU(2) lattice gauge theory. Our results indicate that this gauge is not appropriate for the investigation...
Short Strings and New Physics Perspectives in QCD (1999)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
Within the (dual) Abelian Higgs model, confining strings do not disappear at small distances but rather become short strings. In compact 3D electrodynamics, as we argue here, the confining strings...
The lattice SU(2) confining string as an Abrikosov vortex (1999)
Gubarev, F. V., Polikarpov, M. I., Suzuki, T.
Numerical data for the SU(2) confining string in the maximal abelian projection are analysed. The distribution of the electric flux and monopole currents are perfectly described by the classical...
Short Strings and Gluon Propagator in the Infrared Region (1999)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We discuss how infrared region influence on short distance physics via new object, called ``short string''. This object exists in confining theories and violates the operator product expansion. Most...
Physics of the Power Corrections in QCD (1999)
Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We review the physics of the power corrections to the parton model. In the first part, we consider the power corrections which characterize the infrared sensitivity of Feynman graphs when the...
Power Corrections from Small Distances (1999)
Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We review recent speculations on power like corrections in QCD which go beyond the standard Operator Product Expansion. Both the theoretical picture underlying these corrections and phenomenological...
Infrared Behaviour of the Gauge Boson Propagator in a Confining Theory (1999)
Chernodub, M. N., Polikarpov, M. I., Zakharov, V. I.
We study the gauge boson propagator in the dual Abelian Higgs theory which confines electric charges. The confinement is due to dual Abrikosov-Nielsen-Olesen strings. We show that the infrared double...
Effective Monopole Potential for SU(2) Lattice Gluodynamics in Spatial Maximal Abelian Gauge (1998)
Chernodub, M. N., Polikarpov, M. I., Veselov, A. I.
We investigate the dual superconductor hypothesis in finite-temperature SU(2) lattice gluodynamics in the Spatial Maximal Abelian gauge. This gauge is more physical than the ordinary Maximal Abelian...
Short Strings in Abelian Higgs Model (1998)
Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We consider the monopole-antimonopole static potential in the confining phase of the Abelian Higgs model and in particular the corrections to the Coulomb-like potential at small distances r. By...
Abelian Monopoles and Action Density in SU(2) Gluodynamics on the Lattice (1998)
Bakker, B. L. G., Chernodub, M. N., Polikarpov, M. I., Veselov, A. I.
We show that the extended Abelian magnetic monopoles in the Maximal Abelian projection of lattice SU(2) gluodynamics are locally correlated with the magnetic and the electric parts of the SU(2)...
Aharonov-Bohm effect, Center Monopoles and Center Vortices in SU(2) Lattice Gluodynamics (1998)
Chernodub, M. N., Polikarpov, M. I., Veselov, A. I., Zubkov, M. A.
SU(2) gluodynamics is investigated numerically and analytically in the (Indirect) Maximal Center gauge at finite temperature. The center vortices are shown to be condensed in the confinement phase...
Monopole-antimonopole interaction in Abelian Higgs model (1998)
Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We consider interaction of a probe monopole-antimonopole pair in the vacuum of the Abelian Higgs model. For simplicity, the mass of the Higgs particle is assumed to be much larger than the mass of...
Strings and Aharonov-Bohm Effect in Abelian Higgs Model (1998)
Chernodub, M. N., Polikarpov, M. I., Veselov, A. I., Zubkov, M. A.
We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D abelian Higgs model. The fractal dimension D_f of the vortex strings was found to be large in the Coulomb phase...
Monopoles in the Abelian Projection of Gluodynamics (1998)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Veselov, A. I.
We discuss some properties of the abelian monopoles in compact U(1) gauge theory and in the SU(2) gluodynamics both on the lattice and in the continuum.
Dyon Condensation and Aharonov-Bohm Effect (1998)
Akhmedov, E. T., Chernodub, M. N., Polikarpov, M. I.
We derive the string representation of the Abelian Higgs theory in which dyons are condensed. It occurs that in such representation the topological interaction exists in the expectation value of the...
Abelian Dyons in the Maximal Abelian Projection of SU(2) Gluodynamics (1998)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I.
Correlations of the topological charge Q, the electric current J^e and the magnetic current J^m in SU(2) lattice gauge theory in the Maximal Abelian projection are investigated. It occurs that the...
Properties of Abelian Monopoles in SU(2) Lattice Gluodynamics (1998)
Bakker, B. L. G., Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Veselov, A. I.
We discuss some properties of abelian monopoles in the Maximal Abelian projection of the SU(2) lattice gluodynamics. We show that in the maximal abelian projection abelian monopoles carry fluctuating...
Abelian Projections and Monopoles (1997)
Chernodub, M. N., Polikarpov, M. I.
The monopole confinement mechanism in the abelian projection of lattice gluodynamics is reviewed. The main topics are: the abelian projection on the lattice and in the continuum, a numerical study of...
Various representations of infrared effective lattice QCD (1997)
Kato, S., Chernodub, M. N., Kitahara, S., Nakamura, N., Polikarpov, M. I., Suzuki, Tsuneo
We study various representations of the infrared effective theory of SU(2) gluodynamics starting from the monopole action derived recently. We determine the coupling constants in the abelian-Higgs...
Abelian monopoles in lattice gluodynamics as physical objects (1997)
Bakker, B. L. G., Chernodub, M. N., Polikarpov, M. I.
By numerical calculations we show that the abelian monopole currents are locally correlated with the density of SU(2) lattice action. This fact is established for the maximal abelian projection....
Electric and magnetic currents in SU(2) lattice gauge theory (1997)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I.
The correlations of the topological charge (Q), the electric (Je) and the magnetic (Jm) currents in the SU(2) lattice gauge theory in the Maximal Abelian projection are investigated. A nonzero value...
Abelian Monopoles in SU(2) Lattice Gauge Theory as Physical Objects (1997)
Bakker, B. L. G., Chernodub, M. N., Polikarpov, M. I.
By numerical calculations we show that the abelian monopole currents are locally correlated with the density of SU(2) lattice action. The correlations are larger by the order of magnitude in the...
Aharonov-Bohm Effect in Lattice Abelian Higgs Theory (1997)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I.
We study a field-theoretical analogue of the Aharonov-Bohm effect in two-, three- and four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking...
Abelian Projection of SU(2) Gluodynamics and Monopole Condensate (1997)
Chernodub, M. N., Polikarpov, M. I., Veselov, A. I.
The general properties of the abelian projection are reviewed. We derive the explicit expression for the abelian functional integral for U(1) abelian theory which corresponds to the abelian...
A toy model test of a new algorithm for bozonization of fermion determinants (1997)
Bakeyev, T. D., Polikarpov, M. I., Slavnov, A. A., Veselov, A. I.
Different aspects of bozonization algorithm proposed by Slavnov are tested by numerical simulations of a one dimensional toy model.
Effective Constraint Potential for Abelian Monopole in SU(2) Lattice Gauge Theory (1996)
Chernodub, M. N., Polikarpov, M. I., Veselov, A. I.
We describe numerical calculation results for the probability distribution of the value of the monopole creation operator in the SU(2) lattice gluodynamics. We work in the maximal abelian projection....
Recent Results on the Abelian Projection of Lattice Gluodynamics (1996)
The abelian projection of lattice gluodynamics is reviewed. The main topics are: abelian and monopole dominance, monopole condensate as the disorder parameter, effective abelian Lagrangian, monopoles...
Aharonov--Bohm Effect in 3D Abelian Higgs Theory (1996)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I.
We study a field--theoretical analogue of the Aharonov--Bohm effect in the 3D Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the vortex and...
Analytical and Numerical Study of the Aharonov--Bohm Effect in 3D and 4D Abelian Higgs Model (1996)
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I.
We discuss the Aharonov--Bohm effect in three and four dimensional non--compact lattice Abelian Higgs model. We show analytically that this effect leads to the long--range Coulomb interaction of the...
Monopole Order Parameter in SU(2) Lattice Gauge Theory (1995)
Chernodub, M. N., Polikarpov, M. I., Veselov, A. I.
We present the results of the numerical calculation of the probability distribution of the value of the monopole creation operator in $SU(2)$ lattice gluodynamics. We work in the maximal abelian...
Confinement Mechanism in Various Abelian Projections of Lattice Gluodynamics (1995)
Chernodub, M. N., Polikarpov, M. I., Veselov, A. I.
We show that the monopole confinement mechanism in lattice gluodynamics may be a particular feature of the maximal abelian projection. We give an explicit example of the $SU(2) \rightarrow U(1)$...
Pauli-Potential and Green Function Monte-Carlo Method for Many-Fermion Systems (1995)
Bakker, B. L. G., Polikarpov, M. I., Veselov, A. I.
The time evolution of a many-fermion system can be described by a Green's function corresponding to an effective potential, which takes anti-symmetrization of the wave function into account, called...
Aharonov--Bohm Effect in the Abelian Higgs Theory (1995)
Chernodub, M. N., Polikarpov, M. I.
We study a field--theoretical analogue of the Aharonov--Bohm effect in the Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the...
Quantum Theory of Strings in Abelian Higgs Model (1995)
Akhmedov, E. T., Chernodub, M. N., Polikarpov, M. I., Zubkov, M. A.
Starting from the Abelian Higgs field theory, we construct the theory of quantum Abrikosov--Nielsen--Olesen strings. It is shown that in four space -- time dimensions in the limit of infinitely thin...
TOPOLOGICAL OBJECTS AND CONFINEMENT ON THE LATTICE (1995)
Akhmedov, E. T., Chernodub, M. N., Polikarpov, M. I.
First we discuss various topological objects (monopoles, ``minopoles'' and ``hybrids'') which may be important for the confinement mechanism in various abelian projections. The second topic is the...
"Confinement Mechanism in Various Abelian Projections of $SU(2)$ Lattice Gluodynamics" (1994)
Chernodub, M. N., Polikarpov, M. I., Veselov, A. I.
We show that the monopole confinement mechanism in lattice gluodynamics is a particular feature of the maximal abelian projection. We give an explicit example of the $SU(2) \rightarrow U(1)$...
Fractal Dimension of Gauge-fixing Defects (1994)
The fractal dimension $D_f$ of sites resisting Landau or maximal Abelian(MA) gauge fixing in lattice $SU(3)$ gluodynamics is defined and computed. In Landau gauge such sites clump into $D_f\sim 1$...
Chernodub, M. N., Polikarpov, M. I., Zubkov, M. A.
We show that in general abelian projection of lattice gluodynamics it is not only monopoles but also strings are present. Both these topological excitations may be responsible for the confinement of...
Properties of the Abelian Projection Fields in $SU(N)$ Lattice Gluodynamics (1993)
't~Hooft's abelian projection of $SU(N)$ gauge theory yields $N$ mutually constrained, compact abelian fields which are permutationally equivalent. We formulate the notion of ``species permutation''...
Compact QED in Landau Gauge: a lattice gauge fixing case study (1993)
Polikarpov, M. I., Yee, Ken, Zubkov, M. A.
We derive different representations of compact QED fixed to Landau gauge by the lattice Faddeev-Popov procedure. Our analysis finds that (A)Nielsen-Olesen vortices arising from the compactness of the...
String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice (1993)
Polikarpov, M. I., Zubkov, M. A.
The partition function of the $4D$ lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen--Olesen strings. The creation and annihilation operators of the strings are...
Cosmic Strings on the Lattice (1992)
Bukenov, A. K., Pochinsky, A. V., Polikarpov, M. I., Polley, L.
We develop a formalism for the quantization of topologically stable excitations in the 4-dimensional abelian lattice gauge theory. The excitations are global and local (Abrikosov-Nielsen-Olesen)...
Geometry of percolating monopole clusters
Boyko,P. Yu., Polikarpov,M. I., Zakharov,V. I.
We perform detailed measurements of the geometrical characteristics of the percolating cluster of the magnetic monopole currents in the confining phase of the lattice SU(2) gluodynamics. The Maximal...
Monopoles and Confining Strings in QCD
Chernodub,M. N., Gubarev,F. V., Polikarpov,M. I., Zakharov,V. I.
We review the recent results in the physics of the magnetic monopoles in gluodynamics and a dual formulation of non-Abelian theories, relevant to the physics of the confinement. It occurs that the...
Three dimensional vacuum domains in four dimensional $SU(2)$ gluodynamics
Kovalenko,A. V., Polikarpov,M. I., Syritsyn,S. N., Zakharov,and V. I.
Performing lattice simulations of the four dimensional $SU(2)$ gluodynamics we find evidence for existence of three-dimensional domains whose total volume scales in physical units. Technically, the...
Geometry of percolating monopole clusters
Boyko, P. Yu., Polikarpov, M. I., Zakharov, V. I.
We perform detailed measurements of the geometrical characteristics of the percolating cluster of the magnetic monopole currents in the confining phase of the lattice SU(2) gluodynamics. The Maximal...
Monopoles and Confining Strings in QCD
Chernodub, M. N., Gubarev, F. V., Polikarpov, M. I., Zakharov, V. I.
We review the recent results in the physics of the magnetic monopoles in gluodynamics and a dual formulation of non-Abelian theories, relevant to the physics of the confinement. It occurs that the...
Three dimensional vacuum domains in four dimensional $SU(2)$ gluodynamics
Kovalenko, A. V., Polikarpov, M. I., Syritsyn, S. N., Zakharov, V. I.
Performing lattice simulations of the four dimensional $SU(2)$ gluodynamics we find evidence for existence of three-dimensional domains whose total volume scales in physical units. Technically, the...
Dynamics of monopoles and flux tubes in two-flavor dynamical QCD
Bornyakov, V. G., Ichie, H., Koma, Yoshiaki, Mori, Yoshihiro, Nakamura, Y., Pleiter, D., ...
We investigate the confining properties of the QCD vacuum with N f = 2 flavors of dynamical quarks, and compare the results with the properties of the quenched theory. We use nonperturbatively O...
Baryonic flux in quenched and two-flavor dynamical QCD after Abelian projection
Bornyakov, V.G., Ichie, H., Mori, Yoshihiro, Pleiter, D., Polikarpov, M.I., Schierholz, G., ...
We study the distribution of color electric flux of the three-quark system in quenched and full QCD (with Nf = 2 flavors of dynamical quarks) at zero and finite temperature. To reduce ultraviolet...
Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges
Chernodub, M. N., Ishiguro, Katsuya, Mori, Yoshihiro, Nakamura, Yoshifumi, Polikarpov, M. I., Sekido, Toru, ...
The vacuum type of SU(2) gluodynamics is studied using Monte Carlo simulations in maximally Abelian (MA) gauge and in Landau (LA) gauge, where the dual Meissner effect is observed to work. The dual...