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

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  • 11 March 1999
Abstract
We argue that Yang-Mills theory on the 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 calculations in this gauge theory in the contiuum limit, we show that this theory is renormalizable, and discuss the UV and IR limits. The moduli space of the vacua of the noncommutative super Yang-Mills theories in 2+1 dinemsions is alos discussed.

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