Abstract
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.
Original language | English |
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Article number | 142 |
Journal | Journal of High Energy Physics |
Volume | 2020 |
Issue number | 12 |
Number of pages | 18 |
ISSN | 1029-8479 |
DOIs | |
Publication status | Published - 22 Dec 2020 |
Keywords
- Black Holes
- Classical Theories of Gravity