Commuting Quantum Matrix Models

Filev, Veselin G. and O'Connor, Denjoe (2014) Commuting Quantum Matrix Models. Journal of High Energy Physics, 2015 (3). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP03(2015)024

Abstract

We study a quantum system of p commuting matrices and find that such a quantum system requires an explicit curvature dependent potential in its Lagrangian for the system to have a finite energy ground state. In contrast it is possible to avoid such curvature dependence in the Hamiltonian. We study the eigenvalue distribution for such systems in the large matrix size limit. A critical rôle is played by p = 4. For p ≥ 4 the competition between eigenvalue repulsion and the attractive potential forces the eigenvalues to form a sharp spherical shell.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:31
Last Modified: 26 Jul 2018 10:34
URI: http://dair.dias.ie/id/eprint/319

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