Quantisation of the gauge-invariant models for massive higher-spin bosonic fields

TL;DR

This paper performs Faddeev-Popov quantisation of Zinoviev's gauge-invariant model for massive higher-spin bosonic fields and extends the Singh-Hagen model to higher dimensions.

Contribution

It provides the first quantisation of Zinoviev's gauge-invariant formulation and generalises the Singh-Hagen model to dimensions greater than four.

Findings

Successful Faddeev-Popov quantisation in Minkowski space

Extension of the Singh-Hagen model to higher dimensions

New insights into massive higher-spin field theories

Abstract

In 2001, Zinoviev proposed a gauge-invariant formulation for a massive bosonic field with spin $s \geq 2$ in a spacetime of constant curvature. In this paper we carry out the Faddeev-Popov quantisation of this theory in $d$-dimensional Minkowski space. We also make use of the Zinoviev theory to derive a generalisation of the Singh-Hagen model for a massive integer-spin field in $d>4 $ dimensions.