# NCG

## Seminar

### Renormalization of the orientable noncommutative Gross-Neveu model

Seminar Room 1, Newton Institute

#### 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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