On the Hierarchy Between Non-Commutative and Ordinary Supersymmetric Yang-Mills

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, 3 figures, references added

Scientific paper

10.1088/1126-6708/1999/12/007

Non-commutative supersymmetric Yang-Mills with rational Theta is dual to an ordinary supersymmetric Yang-Mills with a 't Hooft flux. It is believed that the simplest description is via the ordinary supersymmetric Yang-Mills. We claim, however, that the two descriptions form a hierarchy. The SYM description is the proper description in the ultra violet while the non-commutative description takes over in the infra red.

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