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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2025-02-01
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Series: | Journal of High Energy Physics |
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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 |
id | doaj-art-52e09a19cc064763bfab19dd74391f41 |
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 |
work_keys_str_mv | AT kayshaddad spinningbodiesingeneralrelativityfrombosonicworldlineoscillators AT gustavuhrejakobsen spinningbodiesingeneralrelativityfrombosonicworldlineoscillators AT gustavmogull spinningbodiesingeneralrelativityfrombosonicworldlineoscillators AT janplefka spinningbodiesingeneralrelativityfrombosonicworldlineoscillators |