Two-flavor adjoint QCD

Abstract

We study four dimensional $SU(2)$ Yang-Mills theory with two massless adjoint Weyl fermions. When compactified on a spatial circle of size $L$ much smaller than the strong-coupling scale, this theory can be solved by weak-coupling nonperturbative semiclassical methods. We study the possible realizations of symmetries in the ${\mathbb{R}}^4$ limit and find that all continuous and discrete $0$-form and $1$-form 't Hooft anomaly matching conditions are saturated by a symmetry realization and massless spectrum identical to that found in the small-$L$ limit, with only a single massless flavor-doublet fermion in the infrared. This observation raises the possibility that the class of theories which undergo no phase transition between the analytically-solvable small-size circle and strongly-coupled infinite-size circle is larger than previously thought, and offers new challenges for lattice studies.

5 pages, comments and references added, matches the published version in PRD

References in corpus (7)

• Generalized Global Symmetries
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Conformality or confinement: (IR)relevance of topological excitations
• The infrared regime of SU(2) with one adjoint Dirac flavour
• The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
• Low energy properties of SU(2) gauge theory with N_f = 3/2 flavours of adjoint fermions
• The running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions

Cited by in corpus (48)

• Generalized Symmetries in Condensed Matter
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• Adjoint QCD${}_4$, Deconfined Critical Phenomena, Symmetry-Enriched Topological Quantum Field Theory, and Higher Symmetry-Extension
• Symmetry-Enriched Quantum Spin Liquids in $(3+1)d$
• Symmetric Mass Generation
• An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality
• Anomaly Obstructions to Symmetry Preserving Gapped Phases
• Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
• Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry
• Candidate Phases for SU(2) Adjoint QCD${}_4$ with Two Flavors from $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory
• Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
• Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory
• On the baryon-color-flavor (BCF) anomaly in vector-like theories
• The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
• Anomaly matching in QCD thermal phase transition
• Higher Anomalies, Higher Symmetries, and Cobordisms III: QCD Matter Phases Anew
• Vacuum Structure of Charge k Two-Dimensional QED and Dynamics of an Anti D-String Near an O1- plane
• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• Generalized 't Hooft anomalies on non-spin manifolds
• Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies
• Gauging 1-form center symmetries in simple $SU(N)$ gauge theories
• Conformal window from conformal expansion
• New Anomalies, TQFTs, and Confinement in Bosonic Chiral Gauge Theories
• Metastable Vacua in Large-$N$ QCD${}_3$
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• A possible phase for adjoint QCD
• Ultra Unification
• Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force
• Bose-Fermi cancellations without supersymmetry
• Effective gauge theories of superfluidity with topological order
• Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
• Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice
• Condensates and anomaly cascade in vector-like theories
• High-temperature domain walls of QCD with imaginary chemical potentials
• Strong anomaly and phases of chiral gauge theories
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Anomalies and phases of strongly-coupled chiral gauge theories: recent developments
• Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry
• Dynamical Abelianization and anomalies in chiral gauge theories
• Exploring gauge theories with adjoint matter on the lattice
• Lattice simulations of adjoint QCD with one Dirac overlap fermion
• Phase structure of linear quiver gauge theories from anomaly matching
• C-P-T Fractionalization
• Lattice Analysis of $SU(2)$ with 1 Adjoint Dirac Flavor
• The mixed $0$-form/$1$-form anomaly in Hilbert space: pouring new wine into old bottles
• Baryonic states in $\mathcal{N}=1$ supersymmetric SU(2) Yang-Mills theory on the lattice
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit