Near commuting multi-matrix models
High Energy Physics - Theory
2013-05-02 v2
Abstract
We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform and confined to a ball of radius R=(3Pi/2g)^(1/3). We then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations.
Keywords
Cite
@article{arxiv.1212.4818,
title = {Near commuting multi-matrix models},
author = {Denjoe O'Connor and Veselin G. Filev},
journal= {arXiv preprint arXiv:1212.4818},
year = {2013}
}
Comments
25 pages, appendix expanded, presentation improved, updated to match the published version