The Area Law in Matrix Models for Large N QCD Strings
High Energy Physics - Lattice
2009-11-07 v1 High Energy Physics - Theory
Abstract
We study the question whether matrix models obtained in the zero volume limit of 4d Yang-Mills theories can describe large N QCD strings. The matrix model we use is a variant of the Eguchi-Kawai model in terms of Hermitian matrices, but without any twists or quenching. This model was originally proposed as a toy model of the IIB matrix model. In contrast to common expectations, we do observe the area law for Wilson loops in a significant range of scale of the loop area. Numerical simulations show that this range is stable as N increases up to 768, which strongly suggests that it persists in the large N limit. Hence the equivalence to QCD strings may hold for length scales inside a finite regime.
Cite
@article{arxiv.hep-lat/0112035,
title = {The Area Law in Matrix Models for Large N QCD Strings},
author = {K. N. Anagnostopoulos and W. Bietenholz and J. Nishimura},
journal= {arXiv preprint arXiv:hep-lat/0112035},
year = {2009}
}
Comments
12 pages, 4 figures