Near commuting multi-matrix models

O'Connor, Denjoe and Filev, Veselin G. (2012) Near commuting multi-matrix models. Journal of High Energy Physics, 2013 (4). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP04(2013)144

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 = (3π/2g)^1/3 then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations.

Item Type: Article
Uncontrolled Keywords: Matrix Models, 1/N Expansion
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:27
Last Modified: 16 Dec 2022 02:18
URI: https://dair.dias.ie/id/eprint/292

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