Deconfinement vs. chiral symmetry and higher representation matter

TL;DR

This paper explores how deconfinement and chiral symmetry restoration interact in SU(2) and SU(3) gauge theories with fermions in various representations, using effective theories to analyze phase diagrams and relate findings to lattice simulations.

Contribution

It extends previous models by including higher fermion representations and examines their effects on phase transitions and symmetry restoration.

Findings

Finite temperature phase diagrams for different representations

Correlation between deconfinement and chiral symmetry restoration

Relevance to dynamical electroweak symmetry breaking

Abstract

The interplay of deconfinement and chiral symmetry restoration are considered in terms of effective theories. We generalize the earlier model studies by considering fermions in higher representations, and study the finite temperature phase diagrams of SU(2) and SU(3) gauge theories with two fermion flavors in fundamental, adjoint or two-index symmetric representations. We discuss our results in relation to recent lattice simulations on these theories and outline possible applications in the context of dynamical electroweak symmetry breaking.