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.

arXiv comment43 pages, 3 figures

References in corpus (35)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Generalized Global Symmetries
• Theta, Time Reversal, and Temperature
• 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
• Comments on Abelian Higgs Models and Persistent Order
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• Deconfinement and Chiral Symmetry Restoration in an SU(3) Gauge Theory with Adjoint Fermions
• Anomaly constraints on deconfinement and chiral phase transition
• Anomaly matching for phase diagram of massless ${\mathbb{Z}}_N$-QCD
• Adjoint QCD${}_4$, Deconfined Critical Phenomena, Symmetry-Enriched Topological Quantum Field Theory, and Higher Symmetry-Extension
• Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
• Two-flavor adjoint QCD
• Phases of Chiral Gauge Theories
• Anomaly Obstructions to Symmetry Preserving Gapped Phases
• Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry
• New Constraints on Chiral Gauge Theories
• QCD on a small circle
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• Confinement, Supersymmetry Breaking and Theta Parameter Dependence in the Seiberg-Witten Model
• Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
• The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
• Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle
• 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"
• $A_k\bar{F}$ 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
• Dynamics and symmetries in chiral $SU(N)$ gauge theories
• A Chiral SU(N) Gauge Theory Planar Equivalent to Super-Yang-Mills

Cited by in corpus (14)

• Comments on Symmetric Mass Generation in 2d and 4d
• Some Exact Results in Chiral Gauge Theories
• More Exact Results on Chiral Gauge Theories: the Case of the Symmetric Tensor
• New Anomalies, TQFTs, and Confinement in Bosonic Chiral Gauge Theories
• Strong anomaly and phases of chiral gauge theories
• 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
• Large $N_f$ for multiple representations
• Baryons, Skyrmions and $\theta$-periodicity anomaly in chiral and vector-like gauge theories