Finite-Time Amplitudes In Matrix Theory

TL;DR

This paper compares one-loop finite-time graviton scattering amplitudes in Matrix theory with supergravity, showing agreement at leading order and identifying corrections at subleading order, thus supporting the correspondence between the two frameworks.

Contribution

It provides the first detailed comparison of finite-time amplitudes in Matrix theory and supergravity, including subleading corrections.

Findings

Agreement at leading order for arbitrary time intervals

Identification of subleading order corrections

Validation of Matrix theory and supergravity correspondence

Abstract

We evaluate one-loop finite-time amplitudes for graviton scattering in Matrix theory and compare to the corresponding amplitudes in supergravity. We find agreement for arbitrary time intervals at leading order in distance, providing a functional agreement between supergravity and Matrix theory. At subleading order, we find corrections to the effective potential found from previous phase shift calculations in Matrix theory.