k-String Tension from Eguchi-Kawai Reduction

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.

15 pages, LaTex

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• Large N Volume Independence and an Emergent Fermionic Symmetry
• String tensions in deformed Yang-Mills theory
• Bose-Fermi Degeneracies in Large $N$ Adjoint QCD
• Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles
• Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
• Recent results in large-N lattice gauge theories
• Center symmetry and area laws
• QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry
• Spatial volume dependence for 2+1 dimensional SU(N) Yang-Mills theory
• Confinement on ${\mathbb{R}}^3\times {\mathbb{S}}^1$ and Double-String Collapse
• Large N and Bosonization in Three Dimensions
• Holographic k-string Tensions in Higher Representations and Luescher Term Universality