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arXiv · 1212.4818

Near commuting multi-matrix models

Denjoe O'Connor·Veselin G. Filev
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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.

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Denjoe O'Connor, Veselin G. Filev. 2013-05-01. Near commuting multi-matrix models. https://doi.org/10.1007/jhep04(2013)144

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