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Universal correlations in random matrices: quantum chaos, the $1/r^2$ integrable model, and quantum gravity

Jain, Sanjay (1996) Universal correlations in random matrices: quantum chaos, the $1/r^2$ integrable model, and quantum gravity. [Preprint]

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Abstract

Random matrix theory (RMT) provides a common mathematical formulation of distinct physical questions in three different areas: quantum chaos, the 1-d integrable model with the $1/r^2$ interaction (the Calogero-Sutherland-Moser system), and 2-d quantum gravity. We review the connection of RMT with these areas. We also discuss the method of loop equations for determining correlation functions in RMT, and smoothed global eigenvalue correlators in the 2-matrix model for gaussian orthogonal, unitary and symplectic ensembles.

Item Type: Preprint
Additional Information: Mod.Phys.Lett. A11 (1996) 1201
Keywords: Chaotic Dynamics
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Date Deposited: 26 Jul 2004
Last Modified: 19 Sep 2010 04:13
URI: http://eprints.iisc.ernet.in/id/eprint/882

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