Infrared Evolution and Phase Structure of a Gauge Theory Containing Different Fermion Representations

TL;DR

This paper investigates how an SU(N) gauge theory with multiple fermion representations evolves from high to low energies, analyzing phase transitions, fermion condensation, and the impact of fermion masses.

Contribution

It provides a detailed analysis of the phase structure and fermion condensation patterns in gauge theories with multiple fermion representations, extending previous studies.

Findings

Sequential fermion condensation occurs during evolution.

Fermion mass terms influence phase transitions.

The phase structure depends on fermion representations and interactions.

Abstract

We study the evolution of an asymptotically free vectorial SU($N$) gauge theory from the ultraviolet to the infrared and the resultant phase structure in the general case in which the theory contains fermions transforming according to several different representations of the gauge group. We discuss the sequential fermion condensation and dynamical mass generation that occur, and comment on the effect of bare fermion mass terms.