Topologically Massive Spin-1 Particles and Spin-Dependent Potentials

TL;DR

This paper compares different field representations of a massive spin-1 boson to analyze spin-dependent potentials between fermions, deriving bounds on coupling constants and exploring potential applications.

Contribution

It introduces a novel comparison between Proca and gauge-invariant 2-form field representations of spin-1 bosons for interparticle potential analysis.

Findings

Derived spin- and velocity-dependent potential profiles.

Established an upper bound on coupling constant products.

Compared gauge-invariant and Proca field descriptions.

Abstract

We investigate the role played by particular field representations of an intermediate massive spin-1 boson in the context of spin-dependent interparticle potentials between fermionic sources in the limit of low momentum transfer. The comparison between the well-known case of the Proca field and that of an exchanged spin-1 boson (with gauge-invariant mass) described by a 2-form potential mixed with a 4-vector gauge field is established in order to pursue an analysis of spin- as well as velocity-dependent profiles of the interparticle potentials. We discuss possible applications and derive an upper bound on the product of vector and pseudo-tensor coupling constants.