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arXiv · hep-th/9402029

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

A. Bassetto·F. De Biasio·L. Griguolo
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Abstract

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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A. Bassetto, F. De Biasio, L. Griguolo. 1994-02-04. Light--like Wilson loops and gauge invariance of Yang--Mills theory in 1+1 dimensions. https://doi.org/10.1103/physrevlett.72.3141

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