Fixing the non-relativistic expansion of the 1PM potential
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Fixing the non-relativistic expansion of the 1PM potential. / Grignani, Gianluca; Harmark, Troels; Orselli, Marta; Placidi, Andrea.
In: Journal of High Energy Physics, Vol. 2020, No. 12, 142, 22.12.2020.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Fixing the non-relativistic expansion of the 1PM potential
AU - Grignani, Gianluca
AU - Harmark, Troels
AU - Orselli, Marta
AU - Placidi, Andrea
PY - 2020/12/22
Y1 - 2020/12/22
N2 - We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering amplitudes in a quantum field theory of scalar matter coupled to gravity. Previously, such potentials did not reproduce the Einstein-Infeld-Hoffmann potential without employing a suitable canonical transformation. In this work, we resolve this issue by obtaining a new expression for the first-order post-Minkowskian potential. This is accomplished by exploiting the reference frame dependence that arises in the scattering amplitude computation. Finally, as a check on our result, we demonstrate that our new potential gives the correct scattering angle.
AB - We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering amplitudes in a quantum field theory of scalar matter coupled to gravity. Previously, such potentials did not reproduce the Einstein-Infeld-Hoffmann potential without employing a suitable canonical transformation. In this work, we resolve this issue by obtaining a new expression for the first-order post-Minkowskian potential. This is accomplished by exploiting the reference frame dependence that arises in the scattering amplitude computation. Finally, as a check on our result, we demonstrate that our new potential gives the correct scattering angle.
KW - Black Holes
KW - Classical Theories of Gravity
U2 - 10.1007/JHEP12(2020)142
DO - 10.1007/JHEP12(2020)142
M3 - Journal article
VL - 2020
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 12
M1 - 142
ER -
ID: 255398985