Level spacings for weakly asymmetric real random matrices and application to two-color QCD with chemical potential

Bloch, Jacques and Bruckmann, Falk and Meyer, Nils and Schierenberg, Sebastian (2012) Level spacings for weakly asymmetric real random matrices and application to two-color QCD with chemical potential. JOURNAL OF HIGH ENERGY PHYSICS (8): 066. ISSN 1029-8479,

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Abstract

We consider antisymmetric perturbations of real symmetric matrices in the context of random matrix theory and two-color quantum chromodynamics. We investigate the level spacing distributions of eigenvalues that remain real or become complex conjugate pairs under the perturbation. We work out analytical surmises from small matrices and show that they describe the level spacings of large random matrices. As expected from symmetry arguments, these level spacings also apply to the overlap Dirac operator for two-color QCD with chemical potential.

Item Type: Article
Uncontrolled Keywords: CLASSICAL ORTHOGONAL POLYNOMIALS; CHIRAL-SYMMETRY; GAUGE-THEORIES; LATTICE; ENSEMBLES; SPECTRA; LIMIT; Matrix Models; Lattice Gauge Field Theories; Phase Diagram of QCD
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 May 2020 06:21
Last Modified: 07 May 2020 06:21
URI: https://pred.uni-regensburg.de/id/eprint/18318

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