Fixing the non-relativistic expansion of the 1PM potential
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- Grignani2020_Article_FixingTheNon-relativisticExpan
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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.
Originalsprog | Engelsk |
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Artikelnummer | 142 |
Tidsskrift | Journal of High Energy Physics |
Vol/bind | 2020 |
Udgave nummer | 12 |
Antal sider | 18 |
ISSN | 1029-8479 |
DOI | |
Status | Udgivet - 22 dec. 2020 |
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