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

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.

arXiv comment14 pages, 1 figure; A contribution to the forthcoming book, "At The Frontier of Spacetime -- Scalar-Tensor Theory, Bells inequality, Mach's Principle, Exotic Smoothness." dedicated to Carl Brans on his 80th Birthday. Springer, 2016."