The chiral transition as an Anderson transition

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 $\lambda =0$ changes from Poisson to random matrix. Here we study this transition and its possible implications for the finite temperature transition of QCD-like theories.

Comments: 7 pages, 4 figures, Contribution to the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA