Infrared spectra of some strongly--coupled chiral gauge theories

TL;DR

This paper investigates the infrared spectra of simple strongly-coupled chiral gauge theories, revealing rich structures and dynamics based on recent theoretical advances and known vectorlike theories.

Contribution

It introduces new insights into the IR behavior and spectra of chiral gauge theories using generalized symmetries and anomaly-matching, expanding understanding beyond vectorlike theories.

Findings

Rich and intriguing IR spectra observed in studied models.

Structures of IR effective theories and RG flows are complex and novel.

Models lack nontrivial nonabelian global symmetries, simplifying analysis.

Abstract

Several simple asymptotically-free chiral gauge theories are studied. The only ``free parameters'' of our models are the choice of the gauge group and the matter Weyl fermion representations, and the relative magnitudes of the renormalization-group-invariant scales $\Lambda_i$ associated with each gauge group. None of our models has nontrivial nonabelian global symmetries (``family''--like fermion representations). We rely on some recent theoretical developments on the dynamics of strongly--coupled chiral gauge theories, based on the generalized symmetries and associated new types of anomaly-matching consideration, but also on the solid knowledge on vectorlike gauge theories such as QCD and supersymmetric Yang-Mills theories. The structures of the infrared effective theories, the RG flows, and the light spectra found in these models are surprisingly rich and intriguing.