Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies

Abstract

We study symmetries and dynamics of chiral $SU(N)$ gauge theories with matter Weyl fermions in a two-index symmetric ($\psi$) or anti-symmetric tensor ($\chi$) representation, together with $N\pm 4+p$ fermions in the anti-fundamental ($\eta$) and $p$ fermions in the fundamental ($\xi$) representations. They are known as the Bars-Yankielowicz (the former) and the generalized Georgi-Glashow models (the latter). The conventional 't Hooft anomaly matching algorithm is known to allow a confining, chirally symmetric vacuum in all these models, with a simple set of massless baryonlike composite fermions describing the infrared physics. We analyzed recently one of these models ($\psi \eta$ model), by applying the ideas of generalized symmetries and the consequent, stronger constraints involving certain mixed anomalies, finding that the confining, chirally symmetric, vacuum is actually inconsistent. In the present paper this result is extended to a wider class of the Bars-Yankielowicz and the generalized Georgi-Glashow models. It is shown that for all these models with $N$ and $p$ both even, at least, the generalized anomaly matching requirement forbids the persistence of the full chiral symmetries in the infrared if the system confines. The most natural and consistent possibility is that some bifermion condensates form, breaking the color gauge symmetry dynamically, together with part of the global symmetry.

43 pages, 3 figures

References in corpus (10)

• Generalized Global Symmetries
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Anomaly Obstructions to Symmetry Preserving Gapped Phases
• The infrared regime of SU(2) with one adjoint Dirac flavour
• QCD on a small circle
• The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
• On Yang-Mills Theories with Chiral Matter at Strong Coupling
• 't Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate

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• Anomalies and phases of strongly-coupled chiral gauge theories: recent developments
• Dynamical Abelianization and anomalies in chiral gauge theories
• Anomalies for anomalous symmetries
• Phase structure of linear quiver gauge theories from anomaly matching
• Consistency of $\chi$SB in chiral Yang-Mills theory with adiabatic continuity
• 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