Zero-modes of the QED Neuberger Dirac operator

Berg, Bernd A.; Heller, Urs M.; Markum, H.; Pullirsch, Rainer; Sakuler, W.

doi:10.1016/s0920-5632(01)01788-1

Nuclear Physics B - Proceedings Supplements

2002

DOI: 10.1016/s0920-5632(01)01788-1

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Zero-modes of the QED Neuberger Dirac operator

Bernd A. Berg

Urs M. Heller

H. Markum

et al.

Abstract: We consider $4d$ compact lattice QED in the quenched approximation. First, we briefly summarize the spectrum of the staggered Dirac operator and its connection with random matrix theory. Afterwards we present results for the low-lying eigenmodes of the Neuberger overlap-Dirac operator. In the strong coupling phase we find exact zero-modes. Subsequently we discuss possibly related topological excitations of the U(1) lattice gauge theory.Comment: Lattice2001(confinement), 6 pages, 9 figure

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2005

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Dirac zero-modes in compact U(1) gauge theory

Drescher¹,

Lang²

2005

J. High Energy Phys.

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We study properties of the zero and near-zero eigenmodes of the overlap Dirac operator in compact U (1) gauge theory. In the confinement phase the exact zero-modes are localized as found by studying the values of the inverse participation ratio and other features. Nonzero-eigenmodes are less localized in the confinement phase. In the Coulomb phase no zero-modes are observed and the eigenmodes show no localization at all.

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Dirac zero-modes in compact U(1) gauge theory

Drescher¹,

Lang²

2005

J. High Energy Phys.

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Zero-modes of the QED Neuberger Dirac operator

Cited by 1 publication

References 25 publications

Dirac zero-modes in compact U(1) gauge theory

Dirac zero-modes in compact U(1) gauge theory

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