Three-graviton scattering and recoil effects in M-atrix theory

TL;DR

This paper computes three-graviton scattering in M-atrix theory at finite N, including two-loop and two-body exchange effects, and demonstrates agreement with eleven-dimensional supergravity results, advancing understanding of quantum gravity interactions.

Contribution

It provides the first complete two-loop calculation of three-graviton scattering in M-atrix theory, including previously neglected two-body exchange contributions.

Findings

Three-body force contributions match recent results.

Two-body exchange terms are computed and included.

M-atrix theory results agree with supergravity calculations.

Abstract

We study the scattering of three gravitons in M-atrix theory at finite N. With a specific choice of the background we obtain the complete result up to two loops. The contributions from three-body forces agree with the ones presented in recent papers. We extend the calculation and evaluate the two-body exchanges as well. Such terms, somewhat difficult to isolate and compute, had been neglected so far in the existing literature. We show that the result we have obtained from M-atrix theory precisely matches the result from one-particle reducible tree diagrams in eleven-dimensional supergravity .