Localization in SU(3) gauge theory

Abstract

In this paper we study the localization transition of Dirac eigenmodes in quenched QCD. We determined the temperature dependence of the mobility edge in the quark-gluon plasma phase near the deconfining critical temperature. We calculated the critical temperature where all of the localized modes disappear from the spectrum and compared it with the critical temperature of the deconfining transition. We found that the localization transition happens at the same temperature as the deconfining transition which indicates a strong relation between the two phenomena.