# Field theory for gravity at all scales

## TL;DR

This paper reviews how effective field theories have advanced the understanding of classical gravity across all scales, highlighting their role in gravitational wave research and fundamental physics insights.

## Contribution

It provides a comprehensive overview of EFT applications in classical gravity, especially in post-Newtonian regimes, and explores modern scattering amplitude techniques and dualities.

## Key findings

- EFTs have improved modeling of gravitational interactions at various scales.
- Modern amplitude methods offer new computational tools for gravity.
- Duality relations deepen the understanding of gauge and gravity theories.

## Abstract

We review here the main advances made by using effective field theories (EFTs) in classical gravity, with notable focus on those unique to the EFTs of post-Newtonian (PN) gravity. We then proceed to overview the various prospects of using field theory to study the real-world gravitational wave (GW) data, as well as to ameliorate our fundamental understanding of gravity at all scales, by going from the EFTs of PN gravity to modern advances in scattering amplitudes, including computational techniques and intriguing duality relations between gauge and gravity theories.