One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model
高能物理 - 理论
2008-11-26 v1
摘要
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.
引用
@article{arxiv.hep-th/0701170,
title = {One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model},
author = {Ahmed Lakhoua and Fabien Vignes-Tourneret and Jean-Christophe Wallet},
journal= {arXiv preprint arXiv:hep-th/0701170},
year = {2008}
}
备注
16 pages, 9 figures