Topology and the Dirac operator spectrum in finite-volume gauge theories

被引：30

作者：

Damgaard, PH ^{[1
]}

机构：

[1] Niels Bohr Inst, DK-2100 Copenhagen, Denmark

来源：

NUCLEAR PHYSICS B | 1999年 / 556卷 / 1-2期

关键词：

D O I：

10.1016/S0550-3213(99)00374-0

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：

The interplay between gauge field winding numbers, theta-vacua, and the Dirac operator spectrum in finite-volume gauge theories is reconsidered. To assess the weight of each topological sector, we compare the mass-dependent chiral condensate in gauge field sectors of fixed topological index with the answer obtained by summing over the topological charge. Also the microscopic Dirac operator spectrum in the full finite-volume Yang-Mills theory is obtained in this way, by summing over all topological sectors with the appropriate weight. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：327 / 349

页数：23

共 45 条

[1] Multicritical microscopic spectral correlators of Hermitian and complex matrices [J].