Demonstration of Confinement and Chiral Symmetry Breaking in $SO(N_c)$ Gauge Theories

TL;DR

This paper shows that $SO(N_c)$ gauge theories with vector matter fields confine and break chiral symmetry through monopole condensation, using anomaly-mediated supersymmetry breaking as a perturbation.

Contribution

It provides a novel demonstration of confinement and chiral symmetry breaking in $SO(N_c)$ gauge theories via monopole condensation, extending understanding of non-supersymmetric dynamics.

Findings

$SO(N_c)$ theories confine due to monopole condensation.

Chiral symmetry $SU(N_F)$ breaks to $SO(N_F)$.

Results obtained by perturbing ${ m f N}=1$ supersymmetric theories.

Abstract

We demonstrate that $SO(N_{c})$ gauge theories with matter fields in the vector representation confine due to monopole condensation and break the $SU(N_{F})$ chiral symmetry to $SO(N_{F})$ via the quark bilinear. Our results are obtained by perturbing the ${\cal N}=1$ supersymmetric theory with anomaly-mediated supersymmetry breaking.