Individual complex dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential

被引：14

作者：

Akemann, G. ^{[1
]}

Bloch, J. ^{[2
,3
]}

Shifrin, L. ^{[1
]}

Wettig, T. ^{[2
,3
]}

机构：

[1] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England

[2] Brunel Univ, BURSt Res Ctr, Uxbridge UB8 3PH, Middx, England

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

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 03期

关键词：

D O I：

10.1103/PhysRevLett.100.032002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze how individual eigenvalues of the QCD Dirac operator at nonzero quark chemical potential are distributed in the complex plane. Exact and approximate analytical results for both quenched and unquenched distributions are derived from non-Hermitian random matrix theory. When comparing these to quenched lattice QCD spectra close to the origin, excellent agreement is found for zero and nonzero topology at several values of the quark chemical potential. Our analytical results are also applicable to other physical systems in the same symmetry class.

引用

页数：4

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