58 citations · 124 across the 4 of their papers we have counts for
7 papers
The multivariate signed Bollobas-Riordan polynomial
Fabien Vignes-Tourneret
We generalise the signed Bollobas-Riordan polynomial of S. Chmutov and I. Pak [Moscow Math. J. 7 (2007), no. 3, 409-418] to a multivariate signed polynomial Z and study its propert…
Renormalisation of non-commutative field theories
Vincent Rivasseau, Fabien Vignes-Tourneret
The first renormalisable quantum field theories on non-commutative space have been found recently. We review this rapidly growing subject.
One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model
Ahmed Lakhoua, Fabien Vignes-Tourneret, Jean-Christophe Wallet
We compute at the one-loop order the beta-functions for a renormalisable non-commutative analog of the Gross Neveu model defined on the Moyal plane. The calculation is performed wi…
Renormalization of the Orientable Non-commutative Gross-Neveu Model
Fabien Vignes-Tourneret
We prove that the non-commutative Gross-Neveu model on the two-dimensional Moyal plane is renormalizable to all orders. Despite a remaining UV/IR mixing, renormalizability can be a…
Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space
Razvan Gurau, Jacques Magnen, Vincent Rivasseau +1
In this paper we provide a new proof that the Grosse-Wulkenhaar non-commutative scalar Phi^4_4 theory is renormalizable to all orders in perturbation theory, and extend it to more…
Propagators for Noncommutative Field Theories
R. Gurau, V. Rivasseau, F. Vignes-Tourneret
In this paper we provide exact expressions for propagators of noncommutative Bosonic or Fermionic field theories after adding terms of the Grosse-Wulkenhaar type in order to ensure…