"New Results for Random Matrix Models of QCD"
Relatore: Dr Gernot Akeman- SPhT/CEA, Saclay (France)
03 Giugno 2003 ore 16.30
|Non-perturbative phenomena such as spontaneous chiral
symmetry or CP breaking in QCD can be studied using
low energy effective models. When taking the Goldstone
bosons as the only relevant degrees of freedom the theory simplifies drastically in a particular infrared limit,
becoming equivalent to a random matrix model.
This limit allows to analytically predict the spectral
properties of the QCD Dirac operator, containing valuable
information about chiral symmetry breaking.
These predictions have been largely confirmed from
QCD lattice simulations and their field theoretic origin
from chiral perturbation theory is understood by now.
However, the introduction of a quark chemical potential
has remained a challenge until very recently, for both
the matrix model calculations and lattice simulations.
New analytic predictions are presented for the Dirac
spectrum which is now complex, as well as a
comparison to QCD lattice data in the presence of a
chemical potential is made.