Anderson Localization in Quark-Gluon Plasma
- Department of Physics, University of Pecs, H-7624 Pecs Ifjusag utja 6 (Hungary)
At low temperature the low end of the QCD Dirac spectrum is well described by chiral random matrix theory. In contrast, at high temperature there is no similar statistical description of the spectrum. We show that at high temperature the lowest part of the spectrum consists of a band of statistically uncorrelated eigenvalues obeying essentially Poisson statistics and the corresponding eigenvectors are extremely localized. Going up in the spectrum the spectral density rapidly increases and the eigenvectors become more and more delocalized. At the same time the spectral statistics gradually crosses over to the bulk statistics expected from the corresponding random matrix ensemble. This phenomenon is reminiscent of Anderson localization in disordered conductors. Our findings are based on staggered Dirac spectra in quenched lattice simulations with the SU(2) gauge group.
- OSTI ID:
- 21541675
- Journal Information:
- Physical Review Letters, Vol. 105, Issue 19; Other Information: DOI: 10.1103/PhysRevLett.105.192001; (c) 2010 American Institute of Physics; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
Similar Records
Delocalization of a non-Hermitian quantum walk on random media in one dimension
Low-lying Dirac spectrum of staggered quarks
Related Subjects
CHIRALITY
COMPUTERIZED SIMULATION
EIGENVALUES
EIGENVECTORS
LATTICE FIELD THEORY
POISSON EQUATION
QUANTUM CHROMODYNAMICS
QUARK MATTER
RANDOMNESS
SPECTRAL DENSITY
STATISTICS
SU-2 GROUPS
TEMPERATURE RANGE 0065-0273 K
TEMPERATURE RANGE 0400-1000 K
CONSTRUCTIVE FIELD THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
LIE GROUPS
MATHEMATICS
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SIMULATION
SPECTRAL FUNCTIONS
SU GROUPS
SYMMETRY GROUPS
TEMPERATURE RANGE