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

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

1999-04-08

arxiv.org/abs/hep-th/9904061v1

Phys.Rev. D59 (1999) 125005

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.59.125005

We calculate in dimensions $D=2+\epsilon$ and in light-cone gauge (LCG) the perturbative ${\cal O}(g^4)$ 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.

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