One Loop Renormalizability of Supersymmetric Yang-Mills Theories on Noncommutative Two-Torus

Preprint

9 June 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9903107

Abstract

We argue that Yang-Mills theory on noncommutative torus, expressed in the Fourrier modes, is described by a gauge theory in a usual commutative space, the gauge group being a generalization of the area-preserving diffeomorphisms to the noncommutative case. In this way, performing the loop calculation in this gauge theory in the continuum limit we show that this theory is {\it one loop renormalizable}, and discuss the UV and IR limits. The moduli space of the vacua of the noncommutative super Yang-Mills theories in (2+1) dimensions is discussed.

Keywords

THEORIES ON NONCOMMUTATIVE
LOOP RENORMALIZABLE
SUPERSYMMETRIC YANG
YANG MILLS THEORY
RENORMALIZABLE
MILLS THEORIES
MODULI SPACE

All Related Versions

Version 1, 1999-03-11, ArXiv
Version 2, 1999-03-18, ArXiv
Version 3, 1999-06-09, ArXiv
Published version: Journal of High Energy Physics, 1999 (6), 015.

This publication has 0 references indexed in Scilit: