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arxiv: 1108.6196 · v1 · pith:MJP6X7HOnew · submitted 2011-08-31 · ✦ hep-th · hep-lat

k-String Tension from Eguchi-Kawai Reduction

classification ✦ hep-th hep-lat
keywords eguchi-kawaik-stringreductionsigmatensiontheoriesadjointassumptions
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We consider three-dimensional SU(N) gauge theories with massless Dirac or Majorana fermions in the adjoint representation. We use the Eguchi-Kawai volume reduction to two-dimensions to calculate the tension sigma_k of the k-string in such theories. Under some assumptions whose validity we discuss, we derive the previously conjectured sine formula, sigma_k ~ N sin pi k/N.

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