The chiral phase transition in a random matrix model with molecular correlations

Abstract

The chiral phase transition of QCD is analyzed in a model combining random matrix elements of the Dirac operator with specially chosen non-random ones. The special form of the latter is motivated by the assumption that the fermionic quasi-zero modes associated with instanton and anti-instanton configurations determine the chiral properties of QCD. Our results show that the degree of correlation between these modes plays the decisive role. To reduce the value of the chiral condensate by more than a factor of 2 about 95 percent of the instantons and anti-instantons must form so-called molecules. This conclusion agrees with numerical results of the Stony Brook group.

published version (minor changes in text and one additional reference, one misprint in published version corrected); 12 pages including 1 figure, LaTeX with elsart.sty and psfig.sty

References in corpus (5)

• The Chiral Phase Transition and Instanton Anti-instanton Molecules
• Can Sigma Models Describe Finite Temperature Chiral Transitions?
• Spectrum of the Dirac operator in a QCD instanton liquid: two versus three colors
• Instanton content of finite temperature QCD matter
• Temperature Dependence of the Chiral Condensate from an Interacting Pion Gas

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