Spinning bodies in general relativity from bosonic worldline oscillators

Abstract Worldline quantum field theory (WQFT) has proven itself a powerful tool for classical two-body scattering calculations in general relativity. In this paper we develop a new worldline action involving bosonic oscillators, which enables the use of the WQFT formalism to describe massive compac...

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Main Authors: Kays Haddad, Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2025)019
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author Kays Haddad
Gustav Uhre Jakobsen
Gustav Mogull
Jan Plefka
author_facet Kays Haddad
Gustav Uhre Jakobsen
Gustav Mogull
Jan Plefka
author_sort Kays Haddad
collection DOAJ
description Abstract Worldline quantum field theory (WQFT) has proven itself a powerful tool for classical two-body scattering calculations in general relativity. In this paper we develop a new worldline action involving bosonic oscillators, which enables the use of the WQFT formalism to describe massive compact bodies to all orders in their spins. Inspired by bosonic string theory in the tensionless limit, we augment traditional trajectory variables with bosonic oscillators capturing the spin dependence. We show its equivalence to the covariant phase space description of a spinning body in curved space and clarify the role of the spin-supplementary condition in a Hamiltonian treatment. Higher-spin Hamiltonians are classified to linear and quadratic order in curvature. Finally, perturbative computations at 1PM order for arbitrary powers and orientations of spin and at 2PM up to quartic spin order are performed, recovering results from the literature.
format Article
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institution Kabale University
issn 1029-8479
language English
publishDate 2025-02-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-52e09a19cc064763bfab19dd74391f412025-02-09T12:08:53ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025213910.1007/JHEP02(2025)019Spinning bodies in general relativity from bosonic worldline oscillatorsKays Haddad0Gustav Uhre Jakobsen1Gustav Mogull2Jan Plefka3Institut für Physik und IRIS Adlershof, Humboldt-Universität zu BerlinInstitut für Physik und IRIS Adlershof, Humboldt-Universität zu BerlinInstitut für Physik und IRIS Adlershof, Humboldt-Universität zu BerlinInstitut für Physik und IRIS Adlershof, Humboldt-Universität zu BerlinAbstract Worldline quantum field theory (WQFT) has proven itself a powerful tool for classical two-body scattering calculations in general relativity. In this paper we develop a new worldline action involving bosonic oscillators, which enables the use of the WQFT formalism to describe massive compact bodies to all orders in their spins. Inspired by bosonic string theory in the tensionless limit, we augment traditional trajectory variables with bosonic oscillators capturing the spin dependence. We show its equivalence to the covariant phase space description of a spinning body in curved space and clarify the role of the spin-supplementary condition in a Hamiltonian treatment. Higher-spin Hamiltonians are classified to linear and quadratic order in curvature. Finally, perturbative computations at 1PM order for arbitrary powers and orientations of spin and at 2PM up to quartic spin order are performed, recovering results from the literature.https://doi.org/10.1007/JHEP02(2025)019Classical Theories of GravityEffective Field TheoriesScattering Amplitudes
spellingShingle Kays Haddad
Gustav Uhre Jakobsen
Gustav Mogull
Jan Plefka
Spinning bodies in general relativity from bosonic worldline oscillators
Journal of High Energy Physics
Classical Theories of Gravity
Effective Field Theories
Scattering Amplitudes
title Spinning bodies in general relativity from bosonic worldline oscillators
title_full Spinning bodies in general relativity from bosonic worldline oscillators
title_fullStr Spinning bodies in general relativity from bosonic worldline oscillators
title_full_unstemmed Spinning bodies in general relativity from bosonic worldline oscillators
title_short Spinning bodies in general relativity from bosonic worldline oscillators
title_sort spinning bodies in general relativity from bosonic worldline oscillators
topic Classical Theories of Gravity
Effective Field Theories
Scattering Amplitudes
url https://doi.org/10.1007/JHEP02(2025)019
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AT gustavuhrejakobsen spinningbodiesingeneralrelativityfrombosonicworldlineoscillators
AT gustavmogull spinningbodiesingeneralrelativityfrombosonicworldlineoscillators
AT janplefka spinningbodiesingeneralrelativityfrombosonicworldlineoscillators