Mandelstam-'t Hooft duality in abelian lattice models

1978/07/01 by Michael E. Peskin, Michael E Peskin · 562 citations
Physics and Astronomy · #Abelian group #Color confinement #Connection (principal bundle) #Duality (order theory) #Gauge theory #Hamiltonian lattice gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Lattice model (finance) #Mathematical physics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Quark #Superconductivity #Theoretical physics

paper · doi:10.1016/0003-4916(78)90252-x

published in Annals of Physics 113(1), 122-152 (Elsevier BV)

openalex publication_date 1978/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Cited by

• The bond-algebraic approach to dualities
• The Philosophy and Physics of Duality
• Bosonic SET to SPT Transition under Dyonic LSM Theorem
• Skyrmion-vortex pairing from duality
• Topological order in the (2+1)D compact lattice superconductor
• Duality in field theory and statistical systems
• T-duality and bosonization as examples of continuum gauging and disentangling
• Numerical study of duality and universality in a frozen superconductor
• Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm
• Self-dual monopole loops, instantons and confinement
• Periodic Cosmic String Formation and Dynamics
• Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force
• The gauge theory dual of the bilayer XY model with second order Josephson coupling
• Phase Structure of Compact QED from the Sine-Gordon/Massive Thirring Duality
• Phase structure of Abelian Chern-Simons gauge theories
• Landau theory for lattice higher gauge theory and Kramers-Wannier duality
• Bootstrapping the Simplest Deconfined Quantum Critical Point
• What is emergence, after all?
• Duality of gauge field singularities and the structure of the flux tube in Abelian-projected SU(2) gauge theory and the dual Abelian Higgs model
• Field- and temperature-induced topological phase transitions in the three-dimensionalN-component London superconductor
• Theory of the Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors
• Quantum Spin Liquids
• Abelian Topological Order on Lattice Enriched with Electromagnetic Background
• Disorder Operators and their Descendants
• Do classical configurations produce confinement?
• Particle-Vortex Duality of Hydrodynamics
• Criterion for Dominance of Directional over Size Fluctuations in Destroying Order
• Mass of a quantum 't Hooft-Polyakov monopole
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• Three dimensional periodic U(1) gauge theory and strings
• Role of spinon in the presence of spinon singlet pair excitations on phase transitions ind-wave superconductors
• Monopoles and string tension in SU(2) QCD
• Masses in graphenelike two-dimensional electronic systems: Topological defects in order parameters and their fractional exchange statistics
• Structure of Abrikosov vortices in SU(2) lattice gauge theory
• Quantum critical point in theQED3theory of underdoped high-temperature superconductors
• Splitting the gluon?
• Kosterlitz–Thouless-like deconfinement mechanism in the (2+1)-dimensional Abelian Higgs model
• Gaussian effective potential for the standard modelSU(2)×U(1)electroweak theory
• NONPERTURBATIVE EFFECTIVE MODEL FOR THE HIGGS SECTOR OF THE STANDARD MODEL
• Phases and phase transitions in aU(1)×U(1)system withθ=2π/3mutual statistics
• Paired Parton Trial States for the Superfluid-Fractional Chern Insulator Transition
• Fluctuation-induced first-order phase transitions in type-1.5 superconductors in zero external field
• Fermion Zero Mode and Superfluid Weight
• Quantum Hall fluid of vortices in a two-dimensional array of Josephson junctions
• Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges
• Critical dynamics, duality, and the exact dynamic exponent in extreme type-II superconductors
• Loop models, modular invariance, and three-dimensional bosonization
• One-dimensional bosonization and the SYK model
• Entropy- and Flow-Induced Superfluid States
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Charge renormalization due to graviton loops
• Bosonization and mirror symmetry
• Continuum dual theory of the transition in 3D lattice superconductor
• Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting
• Confinement of half-quantized vortices in coherently coupled Bose-Einstein condensates: Simulating quark confinement in a QCD-like theory
• Ising model as a U(1) lattice gauge theory with a θ-term
• Effective field theories for topological insulators by functional bosonization
• Critical behavior of the QED3-Gross-Neveu model: Duality and deconfined criticality
• Temporal Berry Phase and the Emergence of Bose-Glass-Analog Phase in a Clean U(1) Superfluid
• Fundamental vortices, wall-crossing, and particle-vortex duality
• Exact duality transformations for sigma models and gauge theories
• Probing the ground state in gauge theories
• Confinement of monopoles and scaling theory near unconventional critical points
• The dual of non-Abelian Lattice Gauge Theory