Conservative binary dynamics beyond order $α^5$ in electrodynamics

Fuente: arXiv
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Autori principali: Bini, Donato, Damour, Thibault
Natura: Preprint
Pubblicazione: 2024
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author Bini, Donato
Damour, Thibault
author_facet Bini, Donato
Damour, Thibault
contents We compute the conservative scattering angle of two classical charged particles at the sixth order in electromagnetic coupling, and at the fourth order in velocity, thereby going beyond the current state of the art [fifth order in coupling, derived by Bern {\it et al.}, Phys. Rev. Lett. \textbf{132}, 251601 (2024)]. Our result is obtained by using the electromagnetic version of the Effective One-Body formalism to transfer information from the exact circular binary-charge solution of Schild [Phys. Rev. \textbf{131}, 2762 (1963)] to the post-Lorentzian expansion of the scattering angle.
format Preprint
id arxiv_https___arxiv_org_abs_2410_05257
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Conservative binary dynamics beyond order $α^5$ in electrodynamics
Bini, Donato
Damour, Thibault
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We compute the conservative scattering angle of two classical charged particles at the sixth order in electromagnetic coupling, and at the fourth order in velocity, thereby going beyond the current state of the art [fifth order in coupling, derived by Bern {\it et al.}, Phys. Rev. Lett. \textbf{132}, 251601 (2024)]. Our result is obtained by using the electromagnetic version of the Effective One-Body formalism to transfer information from the exact circular binary-charge solution of Schild [Phys. Rev. \textbf{131}, 2762 (1963)] to the post-Lorentzian expansion of the scattering angle.
title Conservative binary dynamics beyond order $α^5$ in electrodynamics
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2410.05257