The SAGEX review on scattering amplitudes Chapter 13: Post-Minkowskian expansion from scattering amplitudes
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The SAGEX review on scattering amplitudes Chapter 13 : Post-Minkowskian expansion from scattering amplitudes. / Travaglini, Gabriele; Brandhuber, Andreas; Speak, Samuel A.; McLoughlin, Tristan; Dorey, P.; Bern, Zvi; Bjerrum-Bohr, N. E. J.; Plante, L.; Carrasco, J; Blumlein, J.; Britto, Ruth; Dmitry, Chicherin; Chiodaroli, Marco; Damgaard, P. H.; Vanhove, P.; Congkao, Wen; White, Chris.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 55, No. 44, 443014, 04.11.2022.Research output: Contribution to journal › Review › Research › peer-review
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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 -
ID: 333036130