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General Relativity from Scattering Amplitudes [PDF]

Physical Review Letters, 2018
International audienceWeoutline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multigraviton, two-body, on-shell scattering amplitudes ...
N E J Bjerrum-Bohr, Poul H Damgaard, Guido Festuccia   +2 more
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The Calculation of Scattering Amplitudes

Proceedings of the Physical Society. Section A, 1952
In two earlier papers a differential equation was given for the asymptotic phases required in the two-body scattering problem. The method implied a resolution of the wave function into eigenfunctions of the orbital or total angular momentum as the potential was central or non-central. This feature can be avoided and in this paper a integro-differential
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Representations of the Scattering Operator and the Scattering Amplitude, and Analyticity Properties of the Scattering Amplitude

1983
Let Ŝ(λ) be the scattering matrix of a scattering system {H, H 0; J}. Then the operator function T(λ):= Ŝ(λ) − 1ℋ λ is called the scattering amplitude. Its definition, like that of Ŝ(λ), depends on the special direct integral representation of P ac 0ℋ0 with respect to H 0. A scattering system is called trivial if Ŝ(λ) = 1ℋ λ for all λ ∈ ⊿0 = specc (H 0
Hellmut Baumgärtel, Manfred Wollenberg
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Amplitudes in Nucleon-Nucleon Scattering

Physical Review, 1955
When scattering anomalies involving many phase shifts are to be studied, it appears desirable to treat the amplitudes directly before combining them into differential cross sections. Amplitudes suitable for the study of elastic collisions of charged and uncharged Fermi-Dirac particles of spin \textonehalf{}, taking account of possible identity are ...
Breit, G., Hull, M. H. jun.
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Schrödinger Scattering Amplitude. III

Journal of Mathematical Physics, 1962
The methods of an earlier paper are used to obtain a domain of analyticity for the Schrödinger scattering amplitude minus the first Born term. The connection between the scattering integral equation and the Schrödinger equation is also studied.
Grossmann, Alex, Wu, Tai Tsun
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Construction of Unitary Scattering Amplitudes

Physical Review, 1961
A general linear technique is discussed which constructs unitary scattering amplitudes without expanding in partial waves and in the presence of inelastic channels. Two- and three-particle intermediate states are discussed explicitly, but the method can be extended directly to any finite number of particles.A new approximation technique suggested by ...
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Aharonov-Bohm scattering amplitude

Physical Review D, 1990
The two principal approaches to the quantum-mechanical calculation of scattering by flux tubes in two spatial dimensions are reviewed and corrections made where needed. It is noted that even when appropriate care is taken the standard phase-shift method fails to agree with the (corrected) Aharonov-Bohm result. The discrepancy is resolved by noting that
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Schrödinger Scattering Amplitude. I

Journal of Mathematical Physics, 1961
The Schrödinger scattering amplitude for a fixed potential is studied as a function of the three components of the initial momentum, the three components of the final momentum, and the square root of the energy.
Grossmann, Alex, Wu, Tai Tsun
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Schrödinger Scattering Amplitude. II

Journal of Mathematical Physics, 1961
The results of the preceding paper are used to indicate procedures of calculation of the scattering amplitude, obtain several expansions, find bounds on the variation of the amplitude under a change in the potential, and study multiple scattering.
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