Towards unified spinor fields: confinement of gravitons on a de Sitter background

Abstract

We propose an unified theory for spinor fields on extended Weyl manifolds taking into account self-interactions to obtain the Relativistic dynamics on a general curved Riemannian background as continuation of the Relativistic Quantum Geometry program, recently introduced. We focuss our attention separately on both, massless and matter fields. We study an example of confined gravitons on a de Sitter

Emission of primordial bosonic radiation during inflation

“…In this work we shall use a recently introduced extended Weylian manifold [11,12] to describe quantum geometric spinor fields Ψα , where the connections are…”

“…In this work we shall deal only with bosons, in which the creation and destruction operators must comply [11] 4s…”

“…where the tensor Ûµν is purely symmetric and the tensors Vµν and Σµν are purely antisymmetric. By defining the new antisymmetric tensors [11] Nµν…”

“…Therefore, photons and gravitons describe a vector (massless) field dynamics (23) on an extended manifold, and they are distinguished by their spin value. In our case, we have considered these fields as massless, but it is possible to describe massive photons and gravitons using ξ = 0 in the dynamics for bonsons[the reader can see [11]]. The existence of massive gravitons would be responsible for deviations of the Newton's gravitational potential, which lead to Yukawa-like corrections that were calculated in [16] for the bound on a graviton mass…”

“…It is expectable that in the inflationary epoch, coherent radiation of bosons with spin s = and s = 2 has been emitted and the possibility that can be detected today becomes more close because of the last advances in the detection of gravitational waves [10]. In this work we study the emission of both kinds of radiation during a power-law inflationary expansion using the recently introduced formalism called Unified Spinor Fields (USF) [11,12]. It is expected that a fraction of the energy density in the universe is given by this kind of coherent radiation, with wavelengths of the order of cosmological scales.…”