One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model

Details One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model

2007-01-18

arxiv.org/abs/hep-th/0701170v1

Eur.Phys.J.C52:735-742,2007

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 9 figures

Scientific paper

10.1140/epjc/s10052-007-0424-2

We compute at the one-loop order the beta-functions for a renormalisable non-commutative analog of the Gross Neveu model defined on the Moyal plane. The calculation is performed within the so called x-space formalism. We find that this non-commutative field theory exhibits asymptotic freedom for any number of colors. The beta-function for the non-commutative counterpart of the Thirring model is found to be non vanishing.

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