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

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

1999-03-15

arxiv.org/abs/hep-ph/9903359v1

Phys.Rev. D60 (1999) 056004

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 1 figure, RevTeX

Scientific paper

10.1103/PhysRevD.60.056004

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 \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 N_f^c for the transition.

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