Center vortices and chiral symmetry breaking in $SU\mathbf{(}2\mathbf{)}$ lattice gauge theory

Center vortices and chiral symmetry breaking in $S U (2)$ lattice gauge theory

Roman Höllwieser, Thomas Schweigler, Manfried Faber, and Urs M. Heller

Phys. Rev. D 88, 114505 – Published 3 December 2013

Abstract

We investigate the chiral properties of near-zero modes for thick classical center vortices in $S U (2)$ 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.

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Received 11 April 2013

DOI:https://doi.org/10.1103/PhysRevD.88.114505

Authors & Affiliations

Roman Höllwieser^*

Institute of Atomic and Subatomic Physics, Vienna University of Technology, Operngasse 9, 1040 Vienna, Austria and Department of Physics, New Mexico State University, P.O. Box 30001, Las Cruces, New Mexico 88003-8001, USA

Thomas Schweigler and Manfried Faber^†

Institute of Atomic and Subatomic Physics, Vienna University of Technology, Operngasse 9, 1040 Vienna, Austria

Urs M. Heller

American Physical Society, One Research Road, Ridge, New York 11961, USA

^*hroman@kph.tuwien.ac.at
^†faber@kph.tuwien.ac.at

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Vol. 88, Iss. 11 — 1 December 2013

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Physical Review D

covering particles, fields, gravitation, and cosmology

Center vortices and chiral symmetry breaking in $S U (2)$ lattice gauge theory

Roman Höllwieser, Thomas Schweigler, Manfried Faber, and Urs M. Heller

Phys. Rev. D 88, 114505 – Published 3 December 2013

Abstract

Authors & Affiliations

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Physical Review D

covering particles, fields, gravitation, and cosmology

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

Roman Höllwieser, Thomas Schweigler, Manfried Faber, and Urs M. Heller

Phys. Rev. D 88, 114505 – Published 3 December 2013

Abstract

Authors & Affiliations

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Center vortices and chiral symmetry breaking in $S U (2)$ lattice gauge theory