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

Journal Article · Wed Oct 01 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.074505· OSTI ID:21254307

Buividovich, P V ^[1]; Luschevskaya, E V; Polikarpov, M I ^[2]

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1. JIPNR, National Academy of Science, 220109 (Belarus)
2. ITEP, 117218 Russia, Moscow, B. Cheremushkinskaya str. 25 (Russian Federation)

The spectrum of low-lying eigenvalues of the 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=T{sub c}, though not going to zero. At T{sub c}{sup '}{approx_equal}1.5T{sub c}{approx_equal}480 MeV the chiral condensate decreases rapidly once again and becomes either very small or zero. At T<T{sub c} the distributions of small eigenvalues are universal and are well described by the chiral orthogonal ensemble of random matrices. In the temperature range above T{sub c} 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.

• OSTI ID: 21254307
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 7; Other Information: DOI: 10.1103/PhysRevD.78.074505; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
CHIRAL SYMMETRY
CHIRALITY
CONDENSATES
CONFINEMENT
DIRAC EQUATION
DIRAC OPERATORS
DISTRIBUTION
EIGENFUNCTIONS
EIGENVALUES
GAUGE INVARIANCE
INSTANTONS
LATTICE FIELD THEORY
MEV RANGE 100-1000
PHASE TRANSFORMATIONS
RANDOMNESS
SPECTRA
SU-2 GROUPS
TEMPERATURE DEPENDENCE
TEMPERATURE RANGE