Stability Analysis of the Chiral Transition in SU(4) Gauge Theory with Fermions in Multiple Representations

TL;DR

This paper uses a stability analysis to determine that the chiral transition in SU(4) gauge theory with multiple fermion representations is first order, providing insights into phase transition behavior in such theories.

Contribution

It performs a one-loop epsilon expansion stability analysis of SU(4) gauge theory with fermions in multiple representations, revealing the nature of the chiral transition.

Findings

Chiral transition is first order in the studied model.

Analysis assumes simultaneous chiral transition of fermion species.

Provides theoretical insight into phase transitions in multi-representation gauge theories.

Abstract

We present a Pisarski-Wilczek stability analysis of SU(4) gauge theory coupled simultaneously to fermions charged under the fundamental and two-index antisymmetric representations of the gauge group. We carry out the calculation to one loop in the $\epsilon$ expansion, assuming that the two species of fermion undergo a simultaneous chiral transition. The results indicate that the chiral transition is first order.