English

Two-dimensional Yang-Mills Theory on Recursive Infinite Genus Surfaces

High Energy Physics - Theory 2014-11-20 v1

Abstract

The partition function of Euclidean Yang-Mills theory on two dimensional surfaces is given by the Migdal formula. It involves the area and topological characteristics of the surface. We consider this theory on a class of infinite genus surfaces that are constructed recursively. We make use of this recursive structure to compute the partition functions (with or without additional Wilson loops) on such surfaces. Our method also works for the quantum deformed Yang-Mills theory.

Keywords

Cite

@article{arxiv.1407.6379,
  title  = {Two-dimensional Yang-Mills Theory on Recursive Infinite Genus Surfaces},
  author = {Dushyant Kumar},
  journal= {arXiv preprint arXiv:1407.6379},
  year   = {2014}
}

Comments

1+7 pages, 2 figures

R2 v1 2026-06-22T05:11:34.389Z