Two-Dimensional QCD in the Wu-Mandelstam-Leibbrandt Prescription

Details Two-Dimensional QCD in the Wu-Mandelstam-Leibbrandt Prescription Two-Dimensional QCD in the Wu-Mandelstam-Leibbrandt Prescription

1997-09-15

arxiv.org/abs/hep-th/9709101v1

Phys.Rev. D57 (1998) 2456-2459

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX, REVTEX

Scientific paper

10.1103/PhysRevD.57.2456

We find the exact non-perturbative expression for a simple Wilson loop of arbitrary shape for U(N) and SU(N) Euclidean or Minkowskian two-dimensional Yang-Mills theory regulated by the Wu-Mandelstam-Leibbrandt gauge prescription. The result differs from the standard pure exponential area-law of YM_2, but still exhibits confinement as well as invariance under area-preserving diffeomorphisms and generalized axial gauge transformations. We show that the large N limit is NOT a good approximation to the model at finite N and conclude that Wu's N=infinity Bethe-Salpeter equation for QCD_2 should have no bound state solutions. The main significance of our results derives from the importance of the Wu-Mandelstam-Leibbrandt prescription in higher-dimensional perturbative gauge theory.

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