Strong anomaly and phases of chiral gauge theories

Abstract

We present a simple argument which seems to favor, when applied to a large class of strongly-coupled chiral gauge theories, a dynamical-Higgs-phase scenario, characterized by certain bifermion condensates. Flavor symmetric confining vacua described in the infrared by a set of baryonlike massless composite fermions saturating the conventional 't Hooft anomaly matching equations, appear instead disfavored. Our basic criterion is that it should be possible to write a strong-anomaly effective action, analogous to the one used in QCD to describe the solution of the $U(1{)}_A$ problem in the low-energy effective action, by using the low-energy degrees of freedom in the hypothesized infrared theory. We also comment on some well-known ideas such as the complementarity and the large $N$ planar dominance in the context of these chiral gauge theories.Some striking analogies and contrasts between the massless QCD and chiral gauge theories seem to emerge from this discussion.

arXiv comment43 pages, 2 figures

References in corpus (18)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Two-flavor adjoint QCD
• Phases of Chiral Gauge Theories
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• New Constraints on Chiral Gauge Theories
• Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
• On Yang-Mills Theories with Chiral Matter at Strong Coupling
• Renormalization-Group Evolution and Nonperturbative Behavior of Chiral Gauge Theories with Fermions in Higher-Dimensional Representations
• Patterns of Symmetry Breaking in Chiral "QCD"
• Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies
• $A_k\bar{F}$ Chiral Gauge Theories
• 't Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
• Gauging 1-form center symmetries in simple $SU(N)$ gauge theories
• A study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow
• Dynamics and symmetries in chiral $SU(N)$ gauge theories
• A Chiral SU(N) Gauge Theory Planar Equivalent to Super-Yang-Mills
• Monte-Carlo simulations of overlap Majorana fermions

Cited by in corpus (8)

• New Anomalies, TQFTs, and Confinement in Bosonic Chiral Gauge Theories
• Chiral Gauge Dynamics: Candidates for Non-Supersymmetric Dualities
• Dynamical Abelianization and anomalies in chiral gauge theories
• Anomalies for anomalous symmetries
• Phase structure of linear quiver gauge theories from anomaly matching
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• Generalized symmetry constraints on deformed 4d (S)CFTs
• Baryons, Skyrmions and $\theta$-periodicity anomaly in chiral and vector-like gauge theories