Towards the Fradkin-Vasiliev formalism in three dimensions

TL;DR

This paper reformulates free massive bosonic and fermionic fields in three dimensions using a gauge-invariant approach, enabling the application of the Fradkin-Vasiliev formalism to explore their interactions.

Contribution

It introduces a gauge-invariant formulation for massive fields in three dimensions, paving the way for analyzing their interactions via the Fradkin-Vasiliev formalism.

Findings

Rewritten free Lagrangians in gauge-invariant form

Potential to study interactions using Fradkin-Vasiliev formalism

Framework applicable to both bosonic and fermionic fields

Abstract

In this paper we show that using frame-like gauge invariant formulation for the massive bosonic and fermionic fields in three dimensions the free Lagrangians for these fields can be rewritten in the explicitly gauge invariant form in terms of the appropriately chosen set of gauge invariant objects. This in turn opens the possibility to apply the Fradkin-Vasiliev formalism to the investigation of possible interactions of such fields.