Infrared Behaviour of Massive Scalar Matter coupled to Gravity

TL;DR

This paper investigates the infrared behavior of massive scalar particles interacting with gravity, focusing on graviton radiation and the resulting soft graviton emissions in scattering processes.

Contribution

It provides a detailed quantum field theoretic analysis of soft graviton emissions in scalar-gravity interactions within the causal perturbation framework.

Findings

Computed the differential cross-section for soft graviton bremsstrahlung.

Analyzed the infrared divergence structure in scalar-gravity scattering.

Performed the adiabatic limit for graviton radiative corrections.

Abstract

In the framework of causal perturbation theory we consider a massive scalar field coupled to gravity. In the field theoretic approach to quantum gravity (QG) we start with a massless second rank tensor field. This tensor field is then quantized in a covariant way in Minkowski space. This article deals with the adiabatic limit for graviton radiative corrections in a scattering process of two massive scalar particles. We compute the differential cross-section for bremsstrahlung processes in which one of the outgoing particles emites a graviton of low energy, a so called soft graviton. Since the emited graviton will not be detected we have to integrate over all soft gravitons.