Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory

TL;DR

This paper investigates massive spin 1 fields in Riemann-Cartan space-times using Duffin-Kemmer-Petiau theory, revealing a torsion coupling that breaks equivalence with Proca theory except in Teleparallel gravity.

Contribution

It demonstrates how Duffin-Kemmer-Petiau theory induces torsion coupling for spin 1 fields in Riemann-Cartan spaces, contrasting with Proca theory and Teleparallel gravity.

Findings

Coupling between spin 1 fields and torsion in Riemann-Cartan space-times.

Equivalence with Proca theory is broken by torsion coupling.

Equivalence is restored in Teleparallel Equivalent of General Relativity.

Abstract

We consider massive spin 1 fields, in Riemann-Cartan space-times, described by Duffin-Kemmer-Petiau theory. We show that this approach induces a coupling between the spin 1 field and the space-time torsion which breaks the usual equivalence with the Proca theory, but that such equivalence is preserved in the context of the Teleparallel Equivalent of General Relativity.