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Annales Henri Poincaré

, Volume 8, Issue 3, pp 427–474 | Cite as

Renormalization of the Orientable Non-commutative Gross–Neveu Model

  • Fabien Vignes-Tourneret
Open Access
Article

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 \(\bar{\psi}\imath\gamma^{0}\gamma^{1}\psi\). The massless case is renormalizable without such an addition.

Keywords

External Variable Power Counting Gamma Matrice Orientable Graph Ribbon Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  1. 1.Laboratoire de Physique Théorique Bât. 210, CNRS UMR 8627Université Paris XIOrsay CedexFrance

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