TY - JOUR

T1 - The SAGEX review on scattering amplitudes Chapter 13

T2 - Post-Minkowskian expansion from scattering amplitudes

AU - Travaglini, Gabriele

AU - Brandhuber, Andreas

AU - Speak, Samuel A.

AU - McLoughlin, Tristan

AU - Dorey, P.

AU - Bern, Zvi

AU - Bjerrum-Bohr, N. E. J.

AU - Plante, L.

AU - Carrasco, J

AU - Blumlein, J.

AU - Britto, Ruth

AU - Dmitry, Chicherin

AU - Chiodaroli, Marco

AU - Damgaard, P. H.

AU - Vanhove, P.

AU - Congkao, Wen

AU - White, Chris

PY - 2022/11/4

Y1 - 2022/11/4

N2 - The post-Minkowskian expansion of Einstein's general theory of relativity has received much attention in recent years due to the possibility of harnessing the computational power of modern amplitude calculations in such a classical context. In this brief review, we focus on the post-Minkowskian expansion as applied to the two-body problem in general relativity without spin, and we describe how relativistic quantum field theory can be used to greatly simplify analytical calculations based on the Einstein-Hilbert action. Subtleties related to the extraction of classical physics from such quantum mechanical calculations highlight the care which must be taken when both positive and negative powers of Planck's constant are at play. In the process of obtaining classical results in both Einstein gravity and supergravity, one learns new aspects of quantum field theory that are obscured when using units in which Planck's constant is set to unity. The scattering amplitude approach provides a self-contained framework for deriving the two-body scattering valid in all regimes of energy. There is hope that the full impact of amplitude computations in this field may significantly alter the way in which gravitational wave predictions will advance in the coming years.

AB - The post-Minkowskian expansion of Einstein's general theory of relativity has received much attention in recent years due to the possibility of harnessing the computational power of modern amplitude calculations in such a classical context. In this brief review, we focus on the post-Minkowskian expansion as applied to the two-body problem in general relativity without spin, and we describe how relativistic quantum field theory can be used to greatly simplify analytical calculations based on the Einstein-Hilbert action. Subtleties related to the extraction of classical physics from such quantum mechanical calculations highlight the care which must be taken when both positive and negative powers of Planck's constant are at play. In the process of obtaining classical results in both Einstein gravity and supergravity, one learns new aspects of quantum field theory that are obscured when using units in which Planck's constant is set to unity. The scattering amplitude approach provides a self-contained framework for deriving the two-body scattering valid in all regimes of energy. There is hope that the full impact of amplitude computations in this field may significantly alter the way in which gravitational wave predictions will advance in the coming years.

KW - scattering amplitude

KW - classical general relativity

KW - perturbative expansion in general relativity

U2 - 10.1088/1751-8121/ac7a78

DO - 10.1088/1751-8121/ac7a78

M3 - Review

VL - 55

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 44

M1 - 443014

ER -