A meanfield theory of the chiral phase transition
Abstract
The recent discussions by Kocić and Kogut on the nature of the chiral phase transition are reviewed. The meanfield nature of the transition suggested by these authors is supported in random matrix theory by Verbaarschot and Jackson which reproduces many aspects of QCD lattice simulations. In this paper, we point out physical arguments that favor a meanfield transition, not only for zero density and high temperature, but also for finite density. We show, using the GrossNeveu model in three spatial dimensions in meanfield approximation, how the phase transition is constructed. In order to reproduce the lowering of the ϱ = 0, T = 0 vacuum evaluated in lattice calculations, we introduce nucleons rather than constituent quarks in negativeenergy states, down to a momentum cutoff of Λ. We also discuss BrownRho scaling of the hadron masses in relation to the QCD phase transition, and how this scaling affects the CERES and HELIOS3 dilepton experiments.
 Publication:

Nuclear Physics A
 Pub Date:
 February 1996
 DOI:
 10.1016/S03759474(96)002953
 arXiv:
 arXiv:nuclth/9603016
 Bibcode:
 1996NuPhA.609..519B
 Keywords:

 Nuclear Theory;
 High Energy Physics  Phenomenology
 EPrint:
 23 pages, Latex, no figures