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arXiv · hep-ph/9903359

Chiral Phase Transition for SU(N) Gauge Theories via an Effective Lagrangian Approach

F. Sannino·J. Schechter
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Abstract

We study the chiral phase transition for vector-like SU(N) gauge theories as a function of the number of quark flavors N_f by making use of an anomaly-induced effective potential. We modify an effective potential of a previous work, suggested for N_f < N, and apply it to larger values of N_f 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 N_f^c for the transition.

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F. Sannino, J. Schechter. 1999-03-15. Chiral Phase Transition for SU(N) Gauge Theories via an Effective Lagrangian Approach. https://doi.org/10.1103/physrevd.60.056004

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