Eigenvalue spectrum of massless Dirac operators on the lattice

被引：38

作者：

Farchioni, F ^{[1
]}

Hip, I ^{[1
]}

Lang, CB ^{[1
]}

Wohlgenannt, M ^{[1
]}

机构：

[1] Graz Univ, Inst Theoret Phys, A-8010 Graz, Austria

来源：

NUCLEAR PHYSICS B | 1999年 / 549卷 / 1-2期

关键词：

lattice field theory; Dirac operator spectrum; topological charge; Schwinger model; Random Matrix theory;

D O I：

10.1016/S0550-3213(99)00162-5

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 present a detailed study of the interplay between chiral symmetry and spectral properties of the Dirac operator in lattice gauge theories. We consider, in the framework of the Schwinger model, the fixed point action and a fermion action recently proposed by Neuberger, Both actions show the remnant of chiral symmetry on the lattice as formulated in the Ginsparg-Wilson relation. We check this issue for practical implementations, also evaluating the fermion condensate in a finite volume by a subtraction procedure, Moreover, we investigate the distribution of the eigenvalues of a properly defined anti-hermitian lattice Dirac operator, studying the statistical properties at the low lying edge of the spectrum. The comparison with the predictions of chiral Random Matrix Theory enables us to obtain an estimate of the infinite volume fermion condensate. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：364 / 388

页数：25

共 64 条

[1] Universality of random matrices in the microscopic limit and the Dirac operator spectrum [J].