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 (5)

• Higher Derivative Chern--Simons Extensions
• Self-duality and soldering in odd dimensions
• Quantum gauge symmetry from finite field dependent BRST transformations
• On the dimensional dependence of the electromagnetic duality groups
• Canonical transformations and soldering

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• 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