Thursday, December 20, 2012

1212.4818 (Denjoe O'Connor et al.)

Near commuting multi-matrix models    [PDF]

Denjoe O'Connor, Veselin G. Filev
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.
View original: http://arxiv.org/abs/1212.4818

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