Eur. Phys. J. A 10, 303-308

QCD at high baryon density in a random matrix model

S. Pepin¹ and A. Schäfer<sup>2

1</sup>  Max-Planck-Institut für Kernphysik, Postfach 103980, D-69029 Heidelberg, Germany
²  Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany

(Received: 20 February 2001 / Revised version: 24 April 2001 Communicated by V. Vento)

Abstract
A high-density diquark phase seems to be a generic feature of QCD. If so it should also be reproduced by random matrix models. We discuss a specific one in which the random matrix elements of the Dirac operator are supplemented by a finite chemical potential and by non-random elements which model the formation of instanton-anti-instanton molecules. Comparing our results to those found in a previous investigation by Vanderheyden and Jackson we find additional support for our starting assumption, namely that the existence of a high-density diquark phase is common to all QCD-like model.

PACS
11.30.Rd - Chiral symmetries.
12.38.Mh - Quark-gluon plasma.
12.38.Aw - General properties of QCD (dynamics, confinement, etc.).

© Società Italiana di Fisica, Springer-Verlag 2001