Speaker
Tamas Kovacs
(University of Pecs)
Description
In the epsilon regime of QCD the low-end of the Dirac spectrum is described by
random matrix theory. In contrast, there has been no similarly well
established staistical description in the high temperature, chirally symmetric
phase. Using lattice simulations I show that at high temperature a band of
extremely localized eigenmodes appear at the low-end of the Dirac
spectrum. The corresponding eigenvalues are statistically independent and obey
a generalized Poisson distribution. Higher up in the spectrum the Poisson
distribution rapidly crosses over into the bulk distribution predicted by the
random matrix ensemble with the corresponding symmetry. My results are based
on quenched lattice simulations with the overlap and the staggered Dirac
operator done well above the critical temperature at several volumes and
values of N_t. I also discuss the crucial role played by the fermionic
boundary condition and the Polyakov-loop in this phenomenon.
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Primary author
Tamas Kovacs
(University of Pecs)
Co-author
Mr
Ferenc Pittler
(University of Pecs)
