Speaker
Dr
Matteo Giordano
(Eötvös University, Budapest)
Description
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)
Co-authors
Dr
Ferenc Pittler
(Eötvös University)
Dr
Tamás Kovács
(Institute for Nuclear Research, Debrecen)
