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arXiv · 1604.04662

Yang-Mills theory on noncommutative space: does it exist?

Masanori Hanada
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Abstract

I revisit a basic question about the noncommutative Yang-Mills theory: if it exists or not, or more precisely, whether a nonperturbative formulation exists. As the most promising approach, I consider a formulation based on matrix models. It is explained that the existence of the noncommutative Yang-Mills theory is closely related to the Eguchi-Kawai equivalence. I argue that supersymmetric noncommutative Yang-Mills theory can be defined straightforwardly. Non-supersymmetric theories, such as QCD and pure bosonic theories, can presumably be defined, by modifying the ultraviolet and infrared behaviors appropriately.

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Masanori Hanada. 2016-08-02. Yang-Mills theory on noncommutative space: does it exist?. https://arxiv.org/abs/1604.04662

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