Scalar and Vector Massive Fields in Lyra's Manifold

TL;DR

This paper investigates how scalar and vector massive fields interact with torsion in Lyra's manifold, revealing that torsion propagation is dynamic and that DKP minimal coupling relates to non-minimal Klein-Gordon-Fock and Proca couplings.

Contribution

It demonstrates the dynamical nature of torsion propagation and clarifies the relationship between DKP minimal coupling and non-minimal Klein-Gordon-Fock and Proca couplings in Lyra's manifold.

Findings

Torsion propagates dynamically in Lyra's manifold.

DKP minimal coupling corresponds to non-minimal Klein-Gordon-Fock and Proca couplings.

Differences in couplings are explained by surface terms.

Abstract

The problem of coupling between spin and torsion is analysed from a Lyra's manifold background for scalar and vector massive fields using the Duffin-Kemmer-Petiau (DKP) theory. We found the propagation of the torsion is dynamical, and the minimal coupling of DKP field corresponds to a non-minimal coupling in the standard Klein-Gordon-Fock and Proca approaches. The origin of this difference in the couplings is discussed in terms of equivalence by surface terms.