Light--like Wilson loops and gauge invariance of Yang--Mills theory in 1+1 dimensions

Details Light--like Wilson loops and gauge invariance of Yang--Mills theory in 1+1 dimensions Light--like Wilson loops and gauge invariance of Yang--Mills theory in 1+1 dimensions

1994-02-04

arxiv.org/abs/hep-th/9402029v1

Phys.Rev.Lett. 72 (1994) 3141-3144

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, plain TeX, DFPD 94/TH/2

Scientific paper

10.1103/PhysRevLett.72.3141

A light-like Wilson loop is computed in perturbation theory up to ${\cal O} (g^4)$ for pure Yang--Mills theory in 1+1 dimensions, using Feynman and light--cone gauges to check its gauge invariance. After dimensional regularization in intermediate steps, a finite gauge invariant result is obtained, which however does not exhibit abelian exponentiation. Our result is at variance with the common belief that pure Yang--Mills theory is free in 1+1 dimensions, apart perhaps from topological effects.

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