Loop Equations in Abelian Gauge Theories
High Energy Physics - Theory
2016-08-16 v2
Abstract
The equations obeyed by the vacuum expectation value of the Wilson loop of Abelian gauge theories are considered from the point of view of the loop-space. An approximative scheme for studying these loop-equations for lattice Maxwell theory is presented. The approximation leads to a partial difference equation in the area and length variables of the loop, and certain physically motivated ansatz is seen to reproduce the mean field results from a geometrical perspective.
Cite
@article{arxiv.hep-th/0502230,
title = {Loop Equations in Abelian Gauge Theories},
author = {Cayetano Di Bartolo and Lorenzo Leal and Francisco Peña},
journal= {arXiv preprint arXiv:hep-th/0502230},
year = {2016}
}
Comments
7 pages, corrected typos