18-24 June 2017
Palacio de Congresos
Europe/Madrid timezone
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Seminarios 1+2
Chiral Symmetry

Spectral statistics of the Dirac operator near a chiral symmetry restoration in a toy model


  • Dr. Ferenc PITTLER

Primary authors

  • Dr. Ferenc PITTLER (Institut für Strahlen-und Kernphysik (Theorie) Bethe Center for Theoretical Physics, Universität Bonn Germany)


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.

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Chiral Symmetry