Tree Quantum Field Theory (2008)
Gurau, R., Magnen, J., Rivasseau, V.
We propose a new formalism for quantum field theory which is neither based on functional integrals, nor on Feynman graphs, but on marked trees. This formalism is constructive, i.e. it computes...
A translation-invariant renormalizable non-commutative scalar model (2008)
Gurau, R., Magnen, J., Rivasseau, V., Tanasa, A.
In this paper we propose a translation-invariant scalar model on the Moyal space. We prove that this model does not suffer from the UV/IR mixing and we establish its renormalizability to all orders...
Bosonic Monocluster Expansion (2007)
A. Abdesselam, J. Magnen, V. Rivasseau
We compute connected Green's functions of a Bosonic field theory with cutoffs by means of a "minimal " expansion which in a single move, interpolating a generalized propagator,...
Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders (2007)
Disertori, M., Gurau, R., Magnen, J., Rivasseau, V.
The simplest non commutative renormalizable field theory, the $\phi_4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe up to three loops, as shown by H. Grosse...
Constructive $\phi^4$ field theory without tears (2007)
We propose to treat the $\phi^4$ Euclidean theory constructively in a simpler way. Our method, based on a new kind of "loop vertex expansion", no longer requires the painful intermediate tool of...
Vanishing of Beta Function of Non Commutative $\Phi^4_4$ Theory to all orders (2006)
Disertori, M., Gurau, R., Magnen, J., Rivasseau, V.
The simplest non commutative renormalizable field theory, the $\phi_4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe up to three loops, as shown by H. Grosse...
Bosonic Monocluster Expansion (2006)
Abdesselam, A., Magnen, J., Rivasseau, V.
We compute connected Green\'s functions of a Bosonic field theory with cutoffs by means of a ``minimal\'\' expansion which in a single move, interpolating a generalized propagator, performs the usual...
Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder (2002)
Bellissard, J., Magnen, J., Rivasseau, V.
This work proposes a very simple random matrix model, the Flip Matrix Model, liable to approximate the behavior of a two dimensional electron in a weak random potential. Its construction is based on...
Bosonic Monocluster Expansion (2002)
Abdesselam, A., Magnen, J., Rivasseau, V.
We compute connected Green\'s functions of a Bosonic field theory with cutoffs by means of a ``minimal\'\' expansion which in a single move, interpolating a generalized propagator, performs the usual...
Disertori, M., Magnen, J., Rivasseau, V.
In this paper we complete the first step, namely the uniform bound on completely convergent contributions, towards proving that a three dimensional interacting system of Fermions is a Fermi liquid in...
Singularity Cancellation in Fermion Loops through Ward Identities (2000)
Recently Neumayr and Metzner have shown that the connected N-point density- correlation functions of the two-dimensional and the one-dimensional Fermi gas at one-loop order generically vanish/are...
Bosonic Monocluster Expansion (2000)
Abdesselam, A., Magnen, J., Rivasseau, V.
We compute connected Green's functions of a Bosonic field theory with cutoffs by means of a ``minimal'' expansion which in a single move, interpolating a generalized propagator, performs the usual...
Bosonic Monocluster Expansion (2000)
Abdesselam, A., Magnen, J., Rivasseau, V.
We compute connected Green\'s functions of a Bosonic field theory with cutoffs by means of a ``minimal\'\' expansion which in a single move, interpolating a generalized propagator, performs the usual...
The Anderson Model as a Matrix Model (1996)
Magnen, J., Poirot, G., Rivasseau, V.
In this paper we describe a strategy to study the Anderson model of an electron in a random potential at weak coupling by a renormalization group analysis. There is an interesting technical analogy...
Large momentum properties and Wilson short distance expansion in nonperturbative field theory (1988)