Microscopic spectral density of the Wilson Dirac operator for one flavor

被引：3

作者：

Larsen, Rasmus Normann ^{[1
]}

机构：

[1] Univ Copenhagen, Niels Bohr Inst, Niels Bohr Int Acad & Discovery Ctr, DK-2100 Copenhagen, Denmark

来源：

PHYSICS LETTERS B | 2012年 / 709卷 / 4-5期

关键词：

Wilson fermions; Microscopic limit;

D O I：

10.1016/j.physletb.2012.02.038

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the effect of a non-zero lattice spacing on the low-energy effective theory of Wilson fermions with N-f = 1. Analytical results are given for both the chiral condensate and the microscopic spectral density of the Wilson Dirac operator. It is observed that the partition function for a sector of fixed index nu has nu real zeros. A subtle mechanism ensures that a constant chiral condensate is recovered, once the sum over sectors nu is performed. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：390 / 395

页数：6