Center vortices and chiral symmetry breaking in SU(2) lattice gauge theory

被引：31

作者：

Hoellwieser, Roman ^{[1
,2
]}

Schweigler, Thomas ^{[1
]}

Faber, Manfried ^{[1
]}

Heller, Urs M. ^{[3
]}

机构：

[1] Vienna Univ Technol, Inst Atom & Subatom Phys, A-1040 Vienna, Austria

[2] New Mexico State Univ, Dept Phys, Las Cruces, NM 88003 USA

[3] Amer Phys Soc, Ridge, NY 11961 USA

来源：

PHYSICAL REVIEW D | 2013年 / 88卷 / 11期

基金：

奥地利科学基金会;

关键词：

CENTER VORTEX MODEL; YANG-MILLS THEORY; INFRARED SECTOR; DIRAC OPERATOR; CONFINEMENT; EXCITATIONS; INSTANTONS; TOPOLOGY; VACUUM;

D O I：

10.1103/PhysRevD.88.114505

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate the chiral properties of near-zero modes for thick classical center vortices in SU(2) lattice gauge theory as examples of the phenomena which may arise in a vortex vacuum. In particular we analyze the creation of near-zero modes from would-be zero modes of various topological charge contributions from center vortices. We show that classical colorful spherical vortex and instanton ensembles have almost identical Dirac spectra and the low-lying eigenmodes from spherical vortices show all characteristic properties for chiral symmetry breaking. We further show that also vortex intersections are able to give rise to a finite density of near-zero modes, leading to chiral symmetry breaking via the Banks-Casher formula. We discuss the mechanism by which center vortex fluxes contribute to chiral symmetry breaking.

引用

页数：19

共 66 条

[1] CLASSICAL SOLUTIONS OF SU(2) YANG-MILLS THEORIES [J].