Multi-matrix models at general coupling

Filev, Veselin G. and O'Connor, Denjoe (2013) Multi-matrix models at general coupling. Journal of Physics A: Mathematical and Theoretical, 46 (47). p. 475403. ISSN 1751-8113

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Official URL: http://doi.org/10.1088/1751-8113/46/47/475403

Abstract

The eigenvalue distribution of Hoppe’s two matrix model is investigated in detail as a function of the model’s coupling. For small couplings it is a perturbed Wigner semicircle, while for large couplings it is a parabolic distribution which crosses over to a Wigner semicircle for eigenvalues within approximately an inverse coupling from the boundary of the distribution. The model is approximately commuting at large couplings and we find the joint eigenvalue distribution of the two matrices. We also study a related three matrix model finding the corresponding three dimensional eigenvalue distribution there also. The techniques developed here are more widely applicable to other multi-matrix models.

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: 26 Jul 2018 10:20
URI: http://dair.dias.ie/id/eprint/300

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