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

Jochen Gattnar; Christof Gattringer; Kurt Langfeld; Hugo Reinhardt; Andreas Schäfer; Stefan Solbrig; T. Tok

doi:10.1016/j.nuclphysb.2005.03.027

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

Jochen Gattnar, Christof Gattringer, Kurt Langfeld, Hugo Reinhardt, Andreas Schäfer, Stefan Solbrig, T. Tok

Institut für Theoretische Physik

Research output: Contribution to journal › Article › peer-review

70 Citations (Scopus)

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.

Original language	English
Pages (from-to)	105-127
Number of pages	23
Journal	Nuclear Physics B
Volume	716
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.03.027
Publication status	Published - 2005
Externally published	Yes

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10.1016/j.nuclphysb.2005.03.027

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title = "Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory",

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.",

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T1 - Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory

AU - Gattnar, Jochen

AU - Gattringer, Christof

AU - Langfeld, Kurt

AU - Reinhardt, Hugo

AU - Schäfer, Andreas

AU - Solbrig, Stefan

AU - Tok, T.

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

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JO - Nuclear Physics B

JF - Nuclear Physics B

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

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