# Hep/Astro Seminar -- Wednesday 2nd March, 2000

##
The Axial Symmetry Restoration In a Chiral Random Matrix Model

##
G. Papp (Kent State)

- Contact the speaker by
E-mail.

### Abstract

I construct a Chiral Random Matrix Model (ChRMM) which takes into account
both the zero and near-zero modes of the QCD Dirac operator. At finite
temperature, the zero modes are not affected by temperature but are
allowed to pair into topologically neutral near-zero modes which are
gapped at high temperature. In equilibrium, in this ChRMM chiral and U(1)
symmetry are simultaneously restored for total pairing.
Finally, I analyze a number of susceptibilities versus the light quark
masses. At the transition point the topological susceptibility vanishes,
and the dependence on the vacuum angle $\theta$ drops out. The results are
briefly contrasted with recent lattice simulations.

## 3:30pm, Smith Lab 4079

Jens O. Andersen(jensoa@pacific.mps.ohio-state.edu),
last updated 24-SEP-97.