Field Strength Correlators For 2D Yang-Mills Over Riemann Surfaces
High Energy Physics - Theory
2009-10-28 v4
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9510154,
title = {Field Strength Correlators For 2D Yang-Mills Over Riemann Surfaces},
author = {J. P. Nunes and H. J. Schnitzer},
journal= {arXiv preprint arXiv:hep-th/9510154},
year = {2009}
}
Comments
final version to appear in Int. Jour. Mod. Phys. A, minor corrections, added a few comments on Wilson loops and non-abelian Stokes theorem