k-String Tension from Eguchi-Kawai Reduction
Adi Armoni, Daniele Dorigoni, Gabriele Veneziano
TL;DR
This paper derives the sine formula for k-string tension in 3D SU(N) gauge theories with adjoint fermions using Eguchi-Kawai reduction, providing a theoretical confirmation of a previously conjectured relation.
Contribution
It applies Eguchi-Kawai volume reduction to derive the sine formula for k-string tension in adjoint fermion gauge theories, offering a new theoretical approach.
Findings
Derivation of the sine formula for k-string tension.
Confirmation of the conjectured relation under certain assumptions.
Application of Eguchi-Kawai reduction to gauge theories.
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.
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