Field Strength Correlators For 2D Yang-Mills Over Riemann Surfaces

Details Field Strength Correlators For 2D Yang-Mills Over Riemann Surfaces Field Strength Correlators For 2D Yang-Mills Over Riemann Surfaces

1995-10-20

arxiv.org/abs/hep-th/9510154v4

Int.J.Mod.Phys. A12 (1997) 4743-4768

Physics

High Energy Physics

High Energy Physics - Theory

final version to appear in Int. Jour. Mod. Phys. A, minor corrections, added a few comments on Wilson loops and non-abelian St

Scientific paper

10.1142/S0217751X9700253X

The path integral computation of field strength correlation functions for two dimensional Yang-Mills theories over Riemann surfaces is studied. The calculation is carried out by abelianization, which leads to correlators that are topological. They are nontrivial as a result of the topological obstructions to the abelianization. It is shown in the large N limit on the sphere that the correlators undergo second order phase transitions at the critical point. Our results are applied to a computation of contractible Wilson loops.

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