Random Matrix Theory and Dirac Spectrum at Nonzero Temperature and Density

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dc.creatorBerg, Bernd A.
dc.creatorMarkum, Harald
dc.creatorPullirsch, Rainer
dc.creatorWettig, Tilo
dc.date1999-12-27
dc.date.accessioned2026-07-07T03:40:28Z
dc.date.available2026-07-07T03:40:28Z
dc.descriptionWe investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD as well as in quenched U(1) theory on various lattice sizes. As a measure of the fluctuation properties of the eigenvalues, we study the nearest-neighbor spacing distribution, $P(s)$. We further study lattice QCD at nonzero chemical potential, $μ$, by constructing the spacing distribution of adjacent eigenvalues in the complex plane. We find that in all regions of their phase diagrams, compact lattice gauge theories have bulk spectral correlations given by random matrix theory, which is an indication for quantum chaos.
dc.description12 pages, 13 figures; crckapb.sty included; to appear in the proceedings of the workshop "Lattice Fermions and Structure of the Vacuum", Oct 5-9, Dubna, Russia
dc.identifierhttps://arxiv.org/abs/hep-lat/9912055
dc.identifierhttp://arxiv.org/abs/hep-lat/9912055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39277
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleRandom Matrix Theory and Dirac Spectrum at Nonzero Temperature and Density
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