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
收藏
页码：390 / 395
页数：6
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