Renormalization of the Orientable Non-commutative Gross-Neveu Model

Details Renormalization of the Orientable Non-commutative Gross-Neveu Model Renormalization of the Orientable Non-commutative Gross-Neveu Model

2006-06-29

arxiv.org/abs/math-ph/0606069v1

AnnalesHenriPoincare8:427-474,2007

Physics

Mathematical Physics

45 pages, 5 figures

Scientific paper

10.1007/s00023-006-0312-6

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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