Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential

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dc.creatorAkemann, G.
dc.creatorBloch, J.
dc.creatorShifrin, L.
dc.creatorWettig, T.
dc.date2007-10-15
dc.date2008-02-19
dc.date.accessioned2026-07-07T11:38:07Z
dc.date.available2026-07-07T11:38:07Z
dc.descriptionWe analyze how individual eigenvalues of the QCD Dirac operator at nonzero quark chemical potential are distributed in the complex plane. Exact and approximate analytical results for both quenched and unquenched distributions are derived from non-Hermitian random matrix theory. When comparing these to quenched lattice QCD spectra close to the origin, excellent agreement is found for zero and nonzero topology at several values of the quark chemical potential. Our analytical results are also applicable to other physical systems in the same symmetry class.
dc.description4 pages, 4 figures, minor changes, as published in Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/0710.2865
dc.identifierhttp://arxiv.org/abs/0710.2865
dc.identifierPhys.Rev.Lett.100:032002,2008
dc.identifierdoi:10.1103/PhysRevLett.100.032002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199450
dc.subjectHigh Energy Physics - Lattice
dc.titleIndividual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential
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