Polynomial Form of the Stueckelberg Model

TL;DR

This paper reformulates the Stueckelberg model into a polynomial, BRS invariant form with simplified symmetry, enabling better understanding of its properties despite non-renormalizability.

Contribution

It introduces a polynomial, BRS invariant formulation of the Stueckelberg model with a simplified abelian gauge symmetry.

Findings

Propagators decay as 1/k^2

Lagrangian is polynomial but not power-counting renormalizable

Symmetry algebra simplifies to an abelian gauge symmetry

Abstract

The Stueckelberg model for massive vector fields is cast into a BRS invariant, polynomial form. Its symmetry algebra simplifies to an abelian gauge symmetry which is sufficient to decouple the negative norm states. The propagators fall off like $1/k^2$ and the Lagrangean is polynomial but it is not powercounting renormalizable due to derivative couplings.