arXiv:1108.6196·v1·High Energy Physics — Theory
k-String Tension from Eguchi-Kawai Reduction
Adi Armoni🇬🇧 · Daniele Dorigoni🇮🇹 · Gabriele Veneziano🇫🇷
Abstract
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.
Comments: 15 pages, LaTex