String Tensions and Representations in Anisotropic 2+1-Dimensional Weakly-Coupled Yang-Mills Theory

Abstract

In earlier papers we established quark confinement analytically in anisotropic $(2+1)$-dimensional Yang-Mills theory with two gauge coupling constants. Here we point out a few features of the confining phase. These are: 1) the string tension in the $x^2$-direction as a function of representation obeys a sine law, and 2) static adjoint sources are not confined.

Some added clarifications included. Now ten pages

References in corpus (1)

• Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory

Cited by in corpus (10)

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• Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. II. Spin foam representation
• Longitudinal Rescaling and High-Energy Effective Actions
• On scale symmetry breaking and confinement in D=3 models
• Near-integrability and confinement for high-energy hadron-hadron collisions
• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. I. BF Yang-Mills representation
• Notes on the Hamiltonian formulation of 3D Yang-Mills theory