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Higher Order Graviton Scattering in M(atrix) Theory

K. Becker, M. Becker, J. Polchinski, A. Tseytlin

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.

Higher Order Graviton Scattering 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 term, a two-loop effect, in agreement with explicit matrix model calculation.

Paper Structure

This paper contains 2 sections, 28 equations, 1 figure, 1 table.

Table of Contents

  1. Acknowledgments
  2. Appendix

Figures (1)

  • Figure 1: a) Graphical representation of probe graviton (thin straight line) interacting with the metric of source graviton (heavy straight line) at second order. b) Vanishing nonlinear correction to the metric of the source.