Polyakov Lines in Yang-Mills Matrix Models
High Energy Physics - Theory
2009-11-10 v3 Mathematical Physics
math.MP
Abstract
We study the Polyakov line in Yang-Mills matrix models, which include the IKKT model of IIB string theory. For the gauge group SU(2) we give the exact formulae in the form of integral representations which are convenient for finding the asymptotic behaviour. For the SU(N) bosonic models we prove upper bounds which decay as a power law at large momentum p. We argue that these capture the full asymptotic behaviour. We also indicate how to extend the results to some correlation functions of Polyakov lines.
Cite
@article{arxiv.hep-th/0309026,
title = {Polyakov Lines in Yang-Mills Matrix Models},
author = {Peter Austing and Graziano Vernizzi and John F. Wheater},
journal= {arXiv preprint arXiv:hep-th/0309026},
year = {2009}
}
Comments
19 pages, v2 typos corrected, v3 ref added