Weak gravitational interaction of fermions: quantum viewpoint

TL;DR

This paper investigates the quantum gravitational interactions of fermions with other particles, revealing spin-dependent effects and polarization influences through calculated differential cross sections.

Contribution

It provides the first quantum calculations of gravitational interactions involving fermions, highlighting spin and polarization dependencies in these processes.

Findings

Gravitational interaction depends on the moving particle's spin.

Interaction is independent of the rest particle's spin.

Photon polarization affects fermion-photon gravitational interactions.

Abstract

Using the quantum theory of linearized gravity, gravitational interaction differential cross sections of one fermion by another fermion, a photon and a scalar particle are calculated in the fermion rest-frame. Then, according to the obtained results, it is shown that in the lab frame, the gravitational interaction depends on the spin of the moving particle and is independent of the spin of the rest particle. After that, on the dependency of the gravitational interaction of fermion-photon upon the various states of photons polarization is discussed.