Self dual models and mass generation in planar field theory

TL;DR

This paper explores the relationship between self-dual vector models and massive topological models in three-dimensional field theory, establishing their equivalence through multiple formalisms and discussing implications for bosonisation.

Contribution

It introduces a comprehensive analysis connecting self-dual and massive topological models in 3D, using operator, path integral, and Hamiltonian formalisms.

Findings

Established the equivalence between self-dual and topologically massive models.

Provided a Hamiltonian analysis confirming the Lagrangian formalism results.

Discussed implications for bosonisation in three-dimensional theories.

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.