Equivalent of a Thouless energy in lattice QCD Dirac spectra

M. E. Berbenni; T. Guhr; J. Z. Ma; S. Meyer; T. Wilke

doi:10.1016/s0920-5632(00)91843-7

Equivalent of a Thouless energy in lattice QCD Dirac spectra

M. E. Berbenni, T. Guhr, J. Z. Ma, S. Meyer, T. Wilke

Genetics

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Abstract

Random matrix theory (RMT) is a powerful statistical tool to model spectral fluctuations. In addition, RMT provides efficient means to separate different scales in spectra. Recently RMT has found application in quantum chromodynamics (QCD). In mesoscopic physics, the Thouless energy sets the universal scale for which RMT applies. We try to identify the equivalent of a Thouless energy in complete spectra of the QCD Dirac operator with staggered fermions and SU_c(2) lattice gauge fields. Comparing lattice data with RMT predictions we find deviations which allow us to give an estimate for this scale.

Original language	English (US)
Pages (from-to)	914-916
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	83-84
Issue number	1-3
DOIs	https://doi.org/10.1016/s0920-5632(00)91843-7
State	Published - Mar 2000

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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AU - Wilke, T.

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AB - Random matrix theory (RMT) is a powerful statistical tool to model spectral fluctuations. In addition, RMT provides efficient means to separate different scales in spectra. Recently RMT has found application in quantum chromodynamics (QCD). In mesoscopic physics, the Thouless energy sets the universal scale for which RMT applies. We try to identify the equivalent of a Thouless energy in complete spectra of the QCD Dirac operator with staggered fermions and SUc(2) lattice gauge fields. Comparing lattice data with RMT predictions we find deviations which allow us to give an estimate for this scale.

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Equivalent of a Thouless energy in lattice QCD Dirac spectra

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