Finite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory

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dc.creatorBuividovich, P. V.
dc.creatorLuschevskaya, E. V.
dc.creatorPolikarpov, M. I.
dc.date2008-09-18
dc.date.accessioned2026-07-07T11:45:50Z
dc.date.available2026-07-07T11:45:50Z
dc.descriptionThe spectrum of low-lying eigenvalues of overlap Dirac operator in quenched SU(2) lattice gauge theory with tadpole-improved Symanzik action is studied at finite temperatures in the vicinity of the confinement-deconfinement phase transition defined by the expectation value of the Polyakov line. The value of the chiral condensate obtained from the Banks-Casher relation is found to drop down rapidly at T = Tc, though not going to zero. At Tc' = 1.5 Tc = 480 MeV the chiral condensate decreases rapidly one again and becomes either very small or zero. At T < Tc the distributions of small eigenvalues are universal and are well described by chiral orthogonal ensemble of random matrices. In the temperature range above Tc where both the chiral condensate and the expectation value of the Polyakov line are nonzero the distributions of small eigenvalues are not universal. Here the eigenvalue spectrum is better described by a phenomenological model of dilute instanton - anti-instanton gas.
dc.description8 pages RevTeX, 5 figures, 2 tables
dc.identifierhttps://arxiv.org/abs/0809.3075
dc.identifierhttp://arxiv.org/abs/0809.3075
dc.identifierPhys.Rev.D78:074505,2008
dc.identifierdoi:10.1103/PhysRevD.78.074505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202014
dc.subjectHigh Energy Physics - Lattice
dc.titleFinite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory
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