On the non-minimal coupling of Riemann-flat Klein-Gordon

TL;DR

This paper investigates the energy spectrum of Klein-Gordon particles coupled non-minimally to torsion in a Riemann-flat spacetime, revealing conditions under which energy splitting does not occur and constructing a torsion Hamiltonian.

Contribution

It introduces a novel analysis of Klein-Gordon fields coupled to torsion, deriving the spectrum and Hamiltonian in a Riemann-flat, constant torsion setting.

Findings

Energy spectrum is continuous under the studied conditions.

Energy splitting does not occur when mass squared is proportional to torsion coupling.

A torsion Hamiltonian operator is explicitly constructed.

Abstract

On the non-minimal coupling of Riemann-flat Klein-Gordon Fields to Space-time torsion} The energy spectrum of Klein-Gordon particles is obtained via the non-minimal coupling of Klein-Gordon fields to Cartan torsion in the approximation of Riemann-flatness and constant torsion.When the mass squared is proportional to torsion coupling constant it is shown that the splitting of energy does not occur.I consider that only the vector part of torsion does not vanish and that it is constant.A torsion Hamiltonian operator is constructed.The spectrum of Klein-Gordon fields is continuos.