The chiral transition as an Anderson transition

2014/10/30 by Giordano, Matteo, Katz, Sandor D., Kovacs, Tamas G. +1
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.1410.8392

Abstract

At low temperature the low-lying QCD Dirac spectrum obeys random matrix statistics. Recently we found that above T_c the lowest part of the spectrum consists of localized modes that obey Poisson statistics. An interesting implication of this is that as the system crosses T_c from above, the spectral statistics at λ=0 changes from Poisson to random matrix. Here we study this transition and its possible implications for the finite temperature transition of QCD-like theories.

Related

• Poisson statistics in the high temperature QCD Dirac spectrum
• The chiral phase transition, random matrix models, and lattice data
• Random Matrices and Chiral Symmetry in QCD
• Critical behaviour in the QCD Anderson transition
• Spectral Fluctuations of the QCD Dirac Operator