Matrix geometries and matrix models

Delgadillo-Blando, Rodrigo and O'Connor, Denjoe (2012) Matrix geometries and matrix models. Journal of High Energy Physics, 2012 (11). ISSN 1029-8479

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Abstract

We study a two parameter single trace 3-matrix model with SO(3) global symmetry. The model has two phases, a fuzzy sphere phase and a matrix phase. Configurations in the matrix phase are consistent with fluctuations around a background of commuting matrices whose eigenvalues are confined to the interior of a ball of radius R = 2.0. We study the co-existence curve of the model and find evidence that it has two distinct portions one with a discontinuous internal energy yet critical fluctuations of the specific heat but only on the low temperature side of the transition and the other portion has a continuous internal energy with a discontinuous specific heat of finite jump. We study in detail the eigenvalue distributions of different observables.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	05 Oct 2017 19:26
Last Modified:	15 Dec 2022 12:09
URI:	https://dair.dias.ie/id/eprint/295

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