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

Abstract

A light-like Wilson loop is computed in perturbation theory up to $\mathcal{O}(g^4)$ 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.

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

References in corpus (3)

• Two Dimensional Gauge Theories Revisited
• Gauge Invariance and Anomalous Dimensions of a Light-Cone Wilson Loop in Light-Like Axial Gauge
• The Master Field of QCD${}_2$ and the 'T Hooft Equation

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