Jul 24 – 30, 2016
Highfield Campus, University of Southampton
Europe/London timezone

Chiral transition, eigenmode localisation and Anderson-like models

Jul 29, 2016, 3:00 PM
Building 32 Room 1015 (Highfield Campus, University of Southampton)

Building 32 Room 1015

Highfield Campus, University of Southampton

Talk Nonzero Temperature and Density Nonzero Temperature and Density


Dr Matteo Giordano (Eötvös University, Budapest)


I discuss chiral symmetry restoration and eigenmode localisation in finite-temperature QCD by looking at the lattice Dirac operator as a random Hamiltonian. I will argue that the features of QCD relevant to both phenomena are the presence of order in the Polyakov line configuration, and the correlations that this induces between spatial links across time slices. This ties the fate of chiral symmetry and of localisation of the lowest Dirac eigenmodes to the confining properties of the theory. I then show numerical results obtained in a QCD-inspired Anderson-like toy model, derived by radically simplifying the QCD dynamics while keeping the important features mentioned above. The toy model reproduces all the important qualitative aspects of chiral symmetry breaking and localisation in QCD, thus supporting the central role played by the confinement/deconfinement transition in triggering both phenomena.

Primary author

Dr Matteo Giordano (Eötvös University, Budapest)


Dr Ferenc Pittler (Eötvös University) Dr Tamás Kovács (Institute for Nuclear Research, Debrecen)

Presentation materials