385 citations · 4.3k across the 93 of their papers we have counts for
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Topological Graph Polynomials and Quantum Field Theory, Part I: Heat Kernel Theories
T. Krajewski, V. Rivasseau, A. Tanasa +1
We investigate the relationship between the universal topological polynomials for graphs in mathematics and the parametric representation of Feynman amplitudes in quantum field the…
Tree Quantum Field Theory
R. Gurau, J. Magnen, V. Rivasseau
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.…
Commutative limit of a renormalizable noncommutative model
Jacques Magnen, Vincent Rivasseau, Adrian Tanasa
Renormalizable models on Moyal space have been obtained by modifying the commutative propagator. But these models have a divergent "naive" commutative limit. We exp…
Non Commutative Field Theory on Rank One Symmetric Spaces
P. Bieliavsky, R. Gurau, V. Rivasseau
Quantum field theory has been shown recently renormalizable on flat Moyal space and better behaved than on ordinary space-time. Some models at least should be completely finite, ev…
Vanishing beta function for Grosse-Wulkenhaar model in a magnetic field
Joseph Ben Geloun, Razvan Gurau, Vincent Rivasseau
We prove that the beta function of the Grosse-Wulkenhaar model including a magnetic field vanishes at all order of perturbations. We compute the renormalization group flow of the r…
Color Grosse-Wulkenhaar models: One-loop -functions
Joseph Ben Geloun, Vincent Rivasseau
The -functions of O(N) and U(N) invariant Grosse-Wulkenhaar models are computed at one loop using the matrix basis. In particular, for ``parallel interactions", the model is pro…
A translation-invariant renormalizable non-commutative scalar model
R. Gurau, J. Magnen, V. Rivasseau +1
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 renormalizabil…