Renormalization of the Orientable Non-commutative Gross-Neveu Model
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Abstract
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 achieved. However, in the massive case, this forces us to introduce an additional counterterm of the form "psibar i gamma^{0} gamma^{1} psi". The massless case is renormalizable without such an addition.
Keywords
Cite
@article{arxiv.math-ph/0606069,
title = {Renormalization of the Orientable Non-commutative Gross-Neveu Model},
author = {Fabien Vignes-Tourneret},
journal= {arXiv preprint arXiv:math-ph/0606069},
year = {2008}
}
Comments
45 pages, 5 figures