Post-Minkowskian Scattering Angle in Einstein gravity
Research output: Contribution to journal › Journal article › Research › peer-review
Standard
Post-Minkowskian Scattering Angle in Einstein gravity. / Cristofoli, Andrea; Damgaard, Poul Henrik; Bjerrum-Bohr, Emil.
In: Journal of High Energy Physics (Online), Vol. 2020, No. 08, 038, 07.08.2020.Research output: Contribution to journal › Journal article › Research › peer-review
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Post-Minkowskian Scattering Angle in Einstein gravity
AU - Cristofoli, Andrea
AU - Damgaard, Poul Henrik
AU - Bjerrum-Bohr, Emil
PY - 2020/8/7
Y1 - 2020/8/7
N2 - Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion.
AB - Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion.
U2 - 10.1007/JHEP08(2020)038
DO - 10.1007/JHEP08(2020)038
M3 - Journal article
VL - 2020
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 08
M1 - 038
ER -
ID: 245893387