On the phase structure of commuting matrix models

Filev, Veselin G. and O'Connor, Denjoe (2014) On the phase structure of commuting matrix models. Journal of High Energy Physics, 2014 (8). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP08(2014)003

Abstract

We perform a systematic study of commutative SO(p) invariant matrix models with quadratic and quartic potentials in the large N limit. We find that the physics of these systems depends crucially on the number of matrices with a critical rôle played by p = 4. For p ≤ 4 the system undergoes a phase transition accompanied by a topology change transition. For p > 4 the system is always in the topologically trivial phase and the eigenvalue distribution is a Dirac delta function spherical shell. We verify our analytic work with Monte Carlo simulations.

Item Type: Article
Uncontrolled Keywords: Matrix Models, 1/N Expansion
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:30
Last Modified: 26 Jul 2018 10:32
URI: http://dair.dias.ie/id/eprint/313

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