Spectral statistics of the Dirac operator near a chiral symmetry restoration in a toy model
It was shown recently that in QCD like theories the chiral transition is accompained by the appearance of localized modes at the low end of the Dirac spectrum. In this talk we show that a crucial ingredient for both phenomena is the ordering of the Polyakov loop which makes the time-slices of the Dirac eigenfunctions correlated. In addition we examine a toy model (R. Frezzotti and G.C. Rossi, Phys.Rev. D92 (2015) no.5, 054505 ) in which a chiral symmetry restoration also goes together with the appearance of correlation between time slices, but not with the ordering of the Polyakov loop.
Preferred track (if multiple tracks have been selected)