Discontinuous behavior of perturbative Yang-Mills theories in the limit of dimensions D->2

Abstract

We calculate in dimensions $D=2+\epsilon$ and in light-cone gauge (LCG) the perturbative $\mathcal{O}(g^4)$ contribution to a rectangular Wilson loop in the (t,x)-plane coming from diagrams with a self-energy correction in the vector propagator. In the limit $\epsilon \to 0$ the result is finite, in spite of the vanishing of the triple vector vertex in LCG, and provides the expected agreement with the analogous calculation in Feynman gauge.

DFPD 99/TH/13, RevTex, 15 pages, no figures

References in corpus (3)

• Two-dimensional QCD, instanton contributions and the perturbative Wu-Mandelstam-Leibbrandt prescription
• Two-Dimensional QCD in the Wu-Mandelstam-Leibbrandt Prescription
• Time exponentiation of a Wilson loop for Yang-Mills theories in 2+εdimensions

Cited by in corpus (2)

• Instanton contributions to Wilson loops with general winding number in two dimensions and the spectral density
• Wilson Loops in Two-Dimensional Yang-Mills Theories