k-String Tension from Eguchi-Kawai Reduction

Details k-String Tension from Eguchi-Kawai Reduction k-String Tension from Eguchi-Kawai Reduction

2011-08-31

arxiv.org/abs/1108.6196v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTex

Scientific paper

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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