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arXiv · 2207.05841

The Reissner-Nordström-Tangherlini solution from scattering amplitudes of charged scalars

Simone D'Onofrio·Federica Fragomeno·Claudio Gambino·Fabio Riccioni
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Abstract

The metric and the electromagnetic potential generated by a static, spherically symmetric charged massive object in any dimension are given by the Reissner-Nordström-Tangherlini solution. We derive the expansion of this solution up to third post-Minkowskian order by computing the classical contribution of scattering amplitudes describing the emission of either a graviton or a photon from a massive charged scalar field up to two loops. In four and five dimensions these amplitudes develop ultraviolet divergences that are cancelled by higher-derivative counterterms in a way that generalises what was recently shown to happen in the chargeless case. This renormalisation procedure produces logarithmic terms that match exactly those produced in the post-Minkowskian expansion of the classical solution in de Donder gauge.

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Simone D'Onofrio, Federica Fragomeno, Claudio Gambino, Fabio Riccioni. 2022-09-16. The Reissner-Nordström-Tangherlini solution from scattering amplitudes of charged scalars. https://doi.org/10.1007/jhep09(2022)013

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