Speaker
Mr
Lukas Holicki
(JLU Giessen)
Description
Chiral Random Matrix Theory has proven to describe the spectral prop-
erties of low temperature QCD very well. However, at temperatures above
the chiral symmetry restoring transition it can not provide a global descrip-
tion. The level-spacing distribution in lower part of the spectrum of the
Dirac operator is Poisson-like. The eigenmodes are localized in space-time
and separated from the rest of the spectrum by a so-called mobility edge. In
analogy to Anderson localization in condensed-matter systems with random
disorder this has been called the QCD-Anderson transition.
Here, we study the localization features of the low-lying eigenmodes of
the massless overlap operator on Nf=2+1+1 twisted mass Wilson sea
quarks and present results concerning the temperature dependence of the
mobility edge and the mechanism of the quark-mode localization. We have
used various methods to fix the spectral position of the delocalization transi-
tion and verify that the mobility edge extrapolates to zero at a temperature
within the chiral transition region.
Primary author
Mr
Lukas Holicki
(JLU Giessen)
Co-authors
Prof.
Ernst-Michael Ilgenfritz
(JINR Dubna)
Prof.
Lorenz von Smekal
(JLU Giessen)