Interacting spin 0 fields with torsion via Duffin-Kemmer-Petiau theory

TL;DR

This paper investigates the behavior of spin 0 fields described by the DKP theory in spaces with torsion, revealing interaction differences with the Klein-Gordon field depending on the geometric framework.

Contribution

It demonstrates that DKP fields interact with torsion in Riemann-Cartan spaces but not in Teleparallel gravity, highlighting a divergence from Klein-Gordon field behavior.

Findings

DKP fields interact with torsion in Riemann-Cartan spaces.

DKP and Klein-Gordon fields agree in Teleparallel gravity.

The interaction origins are analyzed and discussed.

Abstract

Here we study the behaviour of spin 0 sector of the DKP field in spaces with torsion. First we show that in a Riemann-Cartan manifold the DKP field presents an interaction with torsion when minimal coupling is performed, contrary to the behaviour of the KG field, a result that breaks the usual equivalence between the DKP and the KG fields. Next we analyse the case of Teleparallel Equivalent of General Relativity Weitzenbock manifold, showing that in this case there is a perfect agreement between KG and DKP fields. The origins of both results are also discussed.