Sub-leading asymptotic behaviour of area correlations in the Barrett-Crane model (2009)
Christensen, J. Daniel, Khavkine, Igor, Livine, Etera R., Speziale, Simone
The Barrett-Crane spin foam model for quantum gravity provides an excellent setting for testing analytical and numerical tools used to probe spinfoam models. Here, we complete the report on the...
Evaluation of new spin foam vertex amplitudes with boundary states (2008)
The numerical evaluation algorithms for the new spin foam vertex amplitudes proposed by Engle, Pereira & Rovelli and Freidel & Krasnov, recently developed by the author, are extended to efficiently...
Evaluation of new spin foam vertex amplitudes (2008)
A new numerical evaluation algorithm is proposed for the new spin foam vertex amplitudes proposed by Engle, Pereira & Rovelli and Freidel & Krasnov. The algorithm is applied to compute the high spin...
An exact string representation of 3d SU(2) lattice Yang--Mills theory (2007)
Conrady, Florian, Khavkine, Igor
We show that 3d SU(2) lattice Yang--Mills theory can be cast in the form of an exact string representation. The derivation starts from the exact dual (or spin foam) representation of the lattice...
Dual Computations of Non-abelian Yang-Mills on the Lattice (2007)
Cherrington, J. Wade, Christensen, J. Daniel, Khavkine, Igor
In the past several decades there have been a number of proposals for computing with dual forms of non-abelian Yang-Mills theories on the lattice. Motivated by the gauge-invariant, geometric picture...
q-Deformed spin foam models of quantum gravity (2007)
Khavkine, Igor, Christensen, J. Daniel
We numerically study Barrett-Crane models of Riemannian quantum gravity. We have extended the existing numerical techniques to handle q-deformed models and arbitrary space-time triangulations. We...
Supercurrent in Nodal Superconductors (2004)
Khavkine, Igor, Kee, Hae-Young, Maki, Kazumi
In recent years, a number of nodal superconductors have been identified; d-wave superconductors in high T_c cuprates, CeCoIn$_5$, and \kappa-(ET)_2Cu(NCS)_2, 2D f-wave superconductor in Sr_2RuO_4 and...
Formation of Electronic Nematic Phase in Interacting Systems (2004)
Khavkine, Igor, Chung, Chung-Hou, Oganesyan, Vadim, Kee, Hae-Young
We study the formation of an electronic nematic phase characterized by a broken point-group symmetry in interacting fermion systems within the weak coupling theory. As a function of interaction...