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An Isaac Newton Institute Workshop

Noncommutative Geometry and Physics: Fundamental Structure of Space and Time

Renormalization of the Orientable Non-commutative Gross-Neveu Model

Author: Vignes-Tourneret Fabien (LPT, Orsay)

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.

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