The Anderson transition in QCD with $N_f=2+1+1$ twisted mass quarks: overlap analysis

Understand

Chiral Random Matrix Theory has proven to describe the spectral properties of low temperature QCD very well.

• However, at temperatures above the chiral symmetry restoring transition it can not provide a global description.
• The level-spacing distribution in the lower part of the spectrum of the Dirac operator is Poisson-like.
• There the eigenmodes are localized in space-time and separated from the rest of the spectrum by a so-called mobility edge.