A non local unitary vector model in 3-D

TL;DR

This paper unifies various 3D vector models using duality transformations and Hamiltonian analysis, revealing how non-local terms naturally emerge and establishing equivalences among different models.

Contribution

It introduces a unified framework for 3D vector models, demonstrating their dualities and the natural appearance of non-local terms in the path integral approach.

Findings

Duality transformations relate different 3D vector models.

Self-dual and topologically massive models are equivalent to a non-local model.

Non-local terms naturally appear in the path integral formulation.

Abstract

We present a unified analysis of single excitation vector models in 3D. We show that there is a family of first order master actions related by duality transformations which interpolate between the different models. We use a Hamiltonian (2+1) analysis to show the equivalence of the self-dual and topologically massive models with a covariant non local model which propagates also a single massive excitation. It is shown how the non local terms appears naturally in the path integral framework.