Bosonization as Duality
arXiv:hep-th/9401105 · doi:10.1016/0550-3213(94)90332-8
Abstract
We show that bosonization in two dimensions can be derived as a special case of the duality transformations that have recently been used to good effect in string theory. This allows the construction of the bosonic counterpart of any fermionic theory simply by `following your nose' using the standard duality transformation rules. We work through the bosonization of the Dirac fermion, the massive and massless Thirring models, and a fermion on a cylindrical spacetime as illustrative examples.
plain TeX, 21 pages
References in corpus (4)
Cited by in corpus (71)
- Phases of Antisymmetric Tensor Field Theories
- Constant magnetic field in closed string theory: an exactly solvable model
- Bosonization in Higher Dimensions
- Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems
- Disorder Operators and their Descendants
- On bosonization in dimensions
- Dual equivalence between Self-Dual and Maxwell-Chern-Simons models coupled to dynamical U(1) charged matter
- Duality Symmetric String and M-Theory
- Bosonization of Fermi Systems in Arbitrary Dimension in Terms of Gauge Forms
- A comment on bosonization in dimensions
- Integrable Noncommutative Sine-Gordon Model
- UV Shadows in EFTs: Accidental Symmetries, Robustness and No-Scale Supergravity
- Duality and Bosonisation in Arbitrary Dimensions
- Non Abelian Bosonization in Two and Three Dimensions
- Dimensional reduction of U(1)\times SU(2) Chern-Simons bosonization: application to the t-J model
- Duality and Global Symmetries
- Loop Models, Modular Invariance, and Three Dimensional Bosonization
- Topological and Universal Aspects of Bosonized Interacting Fermionic Systems in (2+1)d
- Non abelian bosonisation in three dimensional field theory
- Smooth Non-Abelian Bosonization
- On the dual equivalence of the Born-Infeld-Chern-Simons model coupled to dynamical U(1) charged matter
- Pure bosonic worldline path integral representation for fermionic determinants, non-Abelian Stokes theorem, and quasiclassical approximation in QCD
- On the dual equivalence of the self-dual and topologically massive models coupled to dynamical fermionic matter
- Cancellation of quantum anomalies and bosonization of three-dimensional time-reversal symmetric topological insulators
- Dual Linearised Gravity in Arbitrary Dimensions
- Bosonized noncommutative bi-fundamental fermion and S-duality
- Universal Transverse Conductance between Quantum Hall Regions and (2+1)D Bosonization
- Noncommutative Supersymmetric/Integrable Models and String Theory
- Duality equivalence between nonlinear self-dual and topologically massive models
- Non-abelian bosonization from factored coset models in path integrals
- Fermion Pairing and the Scalar Boson of the 2D Conformal Anomaly
- Bosonization of Vector and Axial-Vector Currents in 3+1 Dimensions
- On the dual equivalence of the self-dual and topologically massive p-form models
- Deriving three-dimensional bosonization and the duality web
- Transport in finite incommensurate Peierls-Fröhlich systems
- Topological order in interacting semimetals
- Duality between 3D Massive Thirring and Maxwell Chern-Simons models from 2D bosonization
- Chiral bosonization as a Duality
- Massless Fermions and the Instanton Dipole Liquid in Compact QED_3
- BRST Gauge Fixing and Regularization
- One-dimensional bosonization and the SYK model
- Duality Web on a 3D Euclidean Lattice and Manifestation of Hidden Symmetries
- Extended Dualization: a method for the Bosonization of Anomalous Fermion Systems in Arbitrary Dimension
- Boson-fermion duality in a gravitational background
- The static potential in QED with non-minimal coupling
- Duality in nonlinear BF models: equivalence between self-dual and topologically massive Born-Infeld BF models
- Dual equivalence between self-dual and topologically massive models coupled to matter in dimensions
- Dual description of U(1) charged fields in (2+1) dimensions
- Decoupling Transformations in Path Integral Bosonization
- Integrable Four-Fermi Models with a Boundary and Boson-Fermion Duality
- Perturbative bosonization from two-point correlation functions
- Spacetime Duality and Superduality
- Loop Corrections and Bosonization Formulae
- Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory
- Exact duality and dual Monte-Carlo simulation for the Bosonic Hubbard model
- Field Theoretic Aspects of Condensed Matter Physics: An Overview
- Searching for the dual of the Maxwell-Chern-Simons model minimally coupled to dynamical U(1) charged matter
- Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace
- Bosonization and Duality Aspects in Superfluids and Superconductors
- Smooth Bosonization as a Quantum Canonical Transformation
- Global Anomalies and Anyons in 1+1 Dimensions
- Fractional statistics of charge carriers in the one- and two-dimensional t-J model. A hint for the cuprates?
- Can Dirac fermions Destroy Yang-Mills Black Hole?
- Effective action for in a region with borders
- String Breaking and Z(2) Local Symmetry in the 3D Georgi-Glashow model
- Bosonization and Fermionization of the Superstring Oscillators
- Two-Dimensional Bosonization from Variable Shifts in the Path Integral
- Dualities in 3D Large Vector Models
- Factored coset models: A unifying approach to different bosonization schemes
- (2+1)-Dimensional Fermion Determinant in a Constant Background Field at Finite Temperature and Density
- BF models, Duality and Bosonization on higher genus surfaces