Absence of Correlations in the QCD Dirac Spectrum at High Temperature

Journal Article · Fri Jan 22 04:00:00 EST 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.104.031601· OSTI ID:21386751

Kovacs, Tamas G ^[1]

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1. Department of Physics, University of Pecs, H-7624 Pecs Ifjusag utja 6 (Hungary)

I propose a simple model of the distribution of the small eigenvalues of the QCD Dirac operator well above the finite temperature phase transition where chiral symmetry is restored and the spectral density at zero vanishes. Assuming the absence of correlations between different regions of the low-lying spectrum I derive analytic formulas for the distribution of the first two eigenvalues. I find good agreement with data obtained using the overlap Dirac operator in quenched SU(2) lattice simulations. This suggests that if chiral symmetry is restored spectral correlations are not important and all the statistical properties of the spectrum are encoded in the spectral density.

• OSTI ID: 21386751
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 3 Vol. 104; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COMPUTERIZED SIMULATION
CONSTRUCTIVE FIELD THEORY
DIRAC OPERATORS
EIGENVALUES
FIELD THEORIES
FUNCTIONS
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL OPERATORS
PHASE TRANSFORMATIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SIMULATION
SPECTRA
SPECTRAL DENSITY
SPECTRAL FUNCTIONS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
TEMPERATURE RANGE
TEMPERATURE RANGE 0400-1000 K