Matrix Models and QCD
with Chemical Potential
Gernot Akemann
Abstract
QCD lattice
simulations with chemical potential encounter serious problems due to the
complex phase of the action. On the
other hand effective theories such as chiral
Perturbation Theory and Matrix Models provide detailed information on the
complex Dirac operator spectrum in the confined phase, in a region most
sensitive to chiral symmetry breaking.
We compare
complex Matrix Model predictions to theories where standard Lattice simulations
are possible: full two colour QCD and quenched QCD. Excellent agreement is found including
the scaling of quark mass and chemical potential with the volume. As a byproduct F_pi can be determined.