Scalar gravity: Post-Newtonian corrections via an effective field theory approach

TL;DR

This paper applies effective field theory methods to scalar gravity to systematically compute Post-Newtonian corrections, deriving the Einstein-Infeld-Hoffmann action and constraining interaction couplings.

Contribution

It introduces a quantum field theory approach to scalar gravity for calculating Post-Newtonian corrections, providing a systematic perturbative framework.

Findings

Derived the Einstein-Infeld-Hoffmann action using EFT methods

Established constraints on non-derivative interaction couplings

Demonstrated systematic perturbative expansion in scalar gravity

Abstract

The problem of motion in General Relativity has lost its academic status and become an active research area since the next generation of gravity wave detectors will rely upon its solution. Here we will show, within scalar gravity, how ideas borrowed from Quantum Field Theory can be used to solve the problem of motion in a systematic fashion. We will concentrate in Post-Newtonian corrections. We will calculate the Einstein-Infeld-Hoffmann action and show how a systematic perturbative expansion puts strong constraints on the couplings of non-derivative interactions in the theory.