Self dual models and mass generation in planar field theory

Abstract

We analyse in three space-time dimensions, the connection between abelian self dual vector doublets and their counterparts containing both an explicit mass and a topological mass. Their correspondence is established in the lagrangian formalism using an operator approach as well as a path integral approach. A canonical hamiltonian analysis is presented, which also shows the equivalence with the lagrangian formalism. The implications of our results for bosonisation in three dimensions are discussed.

15 pages,Revtex, No figures; several changes; revised version to appear in Physical Review D

References in corpus (7)

• Higher Derivative Chern--Simons Extensions
• Bosonisation and Duality Symmetry in the Soldering Formalism
• Self-duality and soldering in odd dimensions
• Quantum gauge symmetry from finite field dependent BRST transformations
• Interference Phenomenon for Different Chiral Bosonization Schemes
• On the dimensional dependence of the electromagnetic duality groups
• Canonical transformations and soldering

Cited by in corpus (11)

• Dual descriptions of spin two massive particles in $D=2+1$ via master actions
• Generalized duality between local vector theories in $D=2+1$
• Duality of parity doublets of helicity $\pm 2$ in $D=2+1$
• Nonminimal planar electrodynamics modified by higher-derivative terms
• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• Wigner's little group, gauge transformations and dimensional descent
• Self-dual models in $D=2+1$ from dimensional reduction
• Suppressing vacuum fluctuations with vortex excitations
• Dual composition of odd-dimensional models
• The self-dual Lorentz violating model: quantization, scattering and dual equivalence
• A first-class approach of higher derivative Maxwell-Chern-Simons Proca model