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

被引：4

作者：

Bloch, Jacques ^{[1
]}

Bruckmann, Falk ^{[1
]}

Meyer, Nils ^{[1
]}

Schierenberg, Sebastian ^{[1
]}

机构：

[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 08期

关键词：

Matrix Models; Lattice Gauge Field Theories; Phase Diagram of QCD; CHIRAL-SYMMETRY; DIRAC OPERATOR; ENSEMBLES; OVERLAP; SPECTRA; MODEL;

D O I：

10.1007/JHEP08(2012)066

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页数：23

共 27 条

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Jacques Bloch
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