Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD

Details Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD

2005-12-20

arxiv.org/abs/hep-lat/0512025v1

Nucl.Phys. A770 (2006) 141-161

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 13 figures

Scientific paper

10.1016/j.nuclphysa.2006.02.011

We study the spectrum and eigenmodes of the QCD Dirac operator in a gauge background given by an Instanton Liquid Model (ILM) at temperatures around the chiral phase transition. Generically we find the Dirac eigenvectors become more localized as the temperature is increased. At the chiral phase transition, both the low lying eigenmodes and the spectrum of the QCD Dirac operator undergo a transition to localization similar to the one observed in a disordered conductor. This suggests that Anderson localization is the fundamental mechanism driving the chiral phase transition. We also find an additional temperature dependent mobility edge (separating delocalized from localized eigenstates) in the bulk of the spectrum which moves toward lower eigenvalues as the temperature is increased. In both regions, the origin and the bulk, the transition to localization exhibits features of a 3D Anderson transition including multifractal eigenstates and spectral properties that are well described by critical statistics. Similar results are obtained in both the quenched and the unquenched case though the critical temperature in the unquenched case is lower. Finally we argue that our findings are not in principle restricted to the ILM approximation and may also be found in lattice simulations.

Affiliated with

Also associated with

No associations

Rating

Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-661992