Renormalization of the Orientable Non-commutative Gross-Neveu Model
Résumé
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.
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