Renormalizability of the Supersymmetric Yang-Mills Theories on the Noncommutative Torus

Preprint

18 March 1999

preprint
Published by arXiv in arXiv

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 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

NONCOMMUTATIVE TORUS
YANG MILLS THEORY
MILLS THEORIES
RENORMALIZABLE
MODULI SPACE
TORUS

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.

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