Dynamical chiral symmetry breaking in SU(N_c) gauge theories with large number of fermion flavors

2007/10/08 by Oleksandr Gromenko, Gromenko, Oleksandr
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.0710.1591

openalex publication_date 2007/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we examine a phase transition in SU(N_c) gauge theories governed by the existence of an infrared fixed point of the renormalization group β function. The nonlinear integral Schwinger-Dyson equation for a mass function of massless fermions is solved numerically using the exact expression of the running coupling in two-loop approximation for an SU(3) gauge theory. Based on the obtained solution of the Schwinger-Dyson equation, the value of the chiral condensate, , and the decay constant, f_π, of bound states (mesons) are calculated for several values of fermion flavors N_f. We show that this kind of phase transition is a transition of finite order.

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