Graviton Physics
Barry R. Holstein
TL;DR
The paper addresses graviton–matter interactions by showing that graviton scattering amplitudes factorize into photon-like amplitudes times a universal kinematic factor, simplifying cross-section calculations via helicity methods. It develops the electromagnetic baseline with photon helicity techniques and extends the formalism to gravity in the weak-field, harmonic-gauge framework, deriving explicit factorized forms for graviton photoproduction and graviton Compton scattering. The key result is a set of cross sections for graviton processes that mirror the photon results up to the universal factor, expressed conveniently in helicity language. The work advocates integrating graviton reaction topics into quantum mechanics curricula and highlights the practical utility of helicity methods for tensor gauge theories.
Abstract
The interactions of gravitons with matter are calculated in parallel with the familiar photon case. It is shown that graviton scattering amplitudes can be factorized into a product of familiar electromagnetic forms, and cross sections for various reactions are straightforwardly evaluated using helicity methods.