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arXiv · hep-th/9903107

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

M. M. Sheikh-Jabbari
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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.

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M. M. Sheikh-Jabbari. 1999-06-09. One Loop Renormalizability of Supersymmetric Yang-Mills Theories on Noncommutative Two-Torus. https://doi.org/10.1088/1126-6708%2F1999%2F06%2F015

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