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

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

2006-08-10

arxiv.org/abs/hep-th/0608067v3

Phys.Rev.D75:025001,2007

Physics

High Energy Physics

High Energy Physics - Theory

Some added clarifications included. Now ten pages

Scientific paper

10.1103/PhysRevD.75.025001

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.

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