Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory

Gattnar, Jochen and Gattringer, Christof and Langfeld, Kurt and Reinhardt, Hugo and Schaefer, Andreas and Solbrig, Stefan and Tok, T. (2005) Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory. NUCLEAR PHYSICS B, 716 (1-2). pp. 105-127. ISSN 0550-3213, 1873-1562

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Abstract

We study the interplay between Dirac eigenmodes and center vortices in SU(2) lattice gauge theory. In particular, we focus on vortex-removed configurations and compare them to an ensemble of configurations with random changes of the link variables. We show that removing the vortices destroys all zero modes and the near zero modes are no longer coupled to topological structures. The Dirac spectrum for vortex-removed configurations in many respects resembles a free spectrum thus leading to a vanishing chiral condensate. Configurations with random changes leave the topological features of the Dirac eigensystem intact. We finally show that smooth center vortex configurations give rise to zero modes and topological near zero modes. (c) 2005 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: YANG-MILLS-THEORY; CENTER VORTEX MODEL; TOPOLOGICAL EXCITATIONS; INFRARED SECTOR; CONFINEMENT; DECONFINEMENT; DOMINANCE; OPERATOR; lattice gauge theory; topology; center vortices; Dirac eigenmodes
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 10 May 2021 09:18
Last Modified: 10 May 2021 09:18
URI: https://pred.uni-regensburg.de/id/eprint/36010

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