Higher Order Graviton Scattering in M(atrix) Theory

TL;DR

This paper tests matrix theory predictions for graviton scattering by comparing explicit calculations with supergravity, confirming the coefficient of a specific two-loop term in the effective action.

Contribution

It provides a systematic analysis of the velocity and separation expansion in matrix theory and verifies a supergravity prediction through explicit matrix model calculations.

Findings

Agreement of matrix model calculation with supergravity for the $v^6/r^{14}$ term.

Validation of the two-loop effect prediction in matrix theory.

Enhanced understanding of graviton interactions in M(atrix) theory.

Abstract

In matrix theory the effective action for graviton-graviton scattering is a double expansion in the relative velocity and inverse separation. We discuss the systematics of this expansion and subject matrix theory to a new test. Low energy supergravity predicts the coefficient of the $v^6/r^{14}$ term, a two-loop effect, in agreement with explicit matrix model calculation.