Fixing the non-relativistic expansion of the 1PM potential

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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 languageEnglish
Article number142
JournalJournal of High Energy Physics
Volume2020
Issue number12
Number of pages18
ISSN1029-8479
DOIs
Publication statusPublished - 22 Dec 2020

    Research areas

  • Black Holes, Classical Theories of Gravity

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