Topological and Universal Aspects of Bosonized Interacting Fermionic Systems in (2+1)d

Abstract

General results on the structure of the bosonization of fermionic systems in $(2+1)$d are obtained. In particular, the universal character of the bosonized topological current is established and applied to generic fermionic current interactions. The final form of the bosonized action is shown to be given by the sum of two terms. The first one corresponds to the bosonization of the free fermionic action and turns out to be cast in the form of a pure Chern-Simons term, up to a suitable nonlinear field redefinition. We show that the second term, following from the bosonization of the interactions, can be obtained by simply replacing the fermionic current by the corresponding bosonized expression.

29 pages, RevTex

References in corpus (4)

• On three dimensional bosonization
• A simple remark on three dimensional gauge theories
• Chern-Simons as a geometrical set up for three dimensional gauge theories
• Three dimensional fermionic determinants, Chern-Simons and nonlinear field redefinitions

Cited by in corpus (18)

• On the exact quantum scale invariance of three-dimensional reduced QED theories
• Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases
• Cancellation of quantum anomalies and bosonization of three-dimensional time-reversal symmetric topological insulators
• Ghost free dual vector theories in 2+1 dimensions
• Universal Transverse Conductance between Quantum Hall Regions and (2+1)D Bosonization
• Transport in finite incommensurate Peierls-Fröhlich systems
• Born-Infeld Chern-Simons Theory: Hamiltonian Embedding, Duality and Bosonization
• Massless Fermions and the Instanton Dipole Liquid in Compact QED_3
• On the coupling of the self-dual field to dynamical U(1) Matter and its dual theory
• Non-commutative Duality: High Spin Fields and $C{P}^1$ Model with Hopf Term
• The point-splitting regularization of (2+1)d parity breaking models
• Dual description of U(1) charged fields in (2+1) dimensions
• Vortex Correlation Functions in Maxwell-Chern-Simons Models
• Perturbative bosonization from two-point correlation functions
• Bosonization and Duality Aspects in Superfluids and Superconductors
• String Breaking and Z(2) Local Symmetry in the 3D Georgi-Glashow model
• Universal Landauer conductance in chiral symmetric 2d systems
• Long range interactions and the 3D asymptotic fermion spectrum