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

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

1995-10-10

arxiv.org/abs/hep-ph/9510258v2

Phys.Lett.B367:28-34,1996; ERRATUM-ibid.B374:362,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

published version (minor changes in text and one additional reference, one misprint in published version corrected); 12 pages

Scientific paper

10.1016/0370-2693(95)01401-2

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.

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