A new estimate of the mass of the gravitational scalar field for Dark Energy

TL;DR

This paper estimates the mass of the pseudo dilaton, a scalar field related to dark energy, by analyzing quantum loop effects and their suppression via dimensional regularization, extending previous work to include photon coupling.

Contribution

It introduces a refined method to estimate the pseudo dilaton mass considering quantum effects and coupling to photons, improving upon previous approaches.

Findings

Pseudo dilaton acquires a nonzero mass through loop effects.

Dimensional regularization suppresses divergences, leading to finite results.

Derived the coupling of the pseudo dilaton to two photons.

Abstract

A new estimate of the mass of the pseudo dilaton is offered by following the funda- mental nature that a massless Nambu-Goldstone boson, called a dilaton, in the Einstein frame acquires a nonzero mass through the loop effects which occur with the Higgs field in the relativistic quantum field theory as described by poles of D, spacetime dimensionality off the physical value D = 4. Naturally the technique of dimensional regulairzation is fully used to show this pole structure to be suppressed to be finite by what is called a Classical-Quantum-Interplay, to improve our previous attempt. Basically the same anal- ysis is extended to derive also the coupling of a pseudo dilaton to two photons.