Chiral Phase Transition for SU(N) Gauge Theories via an Effective Lagrangian Approach
F. Sannino, J. Schechter
Abstract
We study 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. We modify an effective potential of a previous work, suggested for Nf < N, and apply it to larger values of Nf where the phase transition is expected to occur. The new effective potential depends explicitly on the full β-function and the anomalous dimension γof the quark mass operator. By using this potential we argue that chiral symmetry is restored for γ<1. A perturbative computation of γthen leads to an estimate of the critical value Nfc for the transition.
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