Universality and Chaos in Quantum Field Theories

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dc.creatorBerg, B. A.
dc.creatorBittner, E.
dc.creatorLombardo, M. -P.
dc.creatorMarkum, H.
dc.creatorPullirsch, R.
dc.creatorWettig, T.
dc.date2000-07-07
dc.date.accessioned2026-07-07T03:38:20Z
dc.date.available2026-07-07T03:38:20Z
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 consider the nearest-neighbor spacing distribution, $P(s)$. We further study two-color 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. In the confinement phase, the low-lying Dirac spectrum of these quantum field theories is well described by random matrix theory, exhibiting universal behavior.
dc.description12 pages, 19 figures, talk presented at Confinement 2000 (Osaka, Japan, 2000-03-07 --2000-03-10)
dc.identifierhttps://arxiv.org/abs/hep-lat/0007008
dc.identifierhttp://arxiv.org/abs/hep-lat/0007008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38488
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleUniversality and Chaos in Quantum Field Theories
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