Chiral Phase Transition for SU(N) Gauge Theories

Details Chiral Phase Transition for SU(N) Gauge Theories Chiral Phase Transition for SU(N) Gauge Theories

1999-07-12

arxiv.org/abs/hep-ph/9907313v1

AIP Conf.Proc.494:329-335,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, LaTeX AIP style. Conf. Proc. "New Directions in Quantum Chromodynamics"

Scientific paper

10.1063/1.1301680

We describe the chiral phase transition for vector-like SU(N) gauge theories as a function of the number of quark flavors Nf by making use of an anomaly-induced effective potential. The potential depends explicitly on the full beta-function and the anomalous dimension \gamma of the quark mass operator. By using this potential we argue that chiral symmetry is restored for \gamma <1. A perturbative computation of \gamma then leads to an estimate of the critical value Nf^c for the transition.

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