Spinning the Probe in Kerr with WQFT
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913938271109120 |
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| author | Hoogeveen, Jitze Jakobsen, Gustav Uhre Plefka, Jan |
| author_facet | Hoogeveen, Jitze Jakobsen, Gustav Uhre Plefka, Jan |
| contents | We investigate the gravitational scattering of a spinning probe mass in a Kerr background using the worldline quantum field theory (WQFT) approach. This corresponds to the leading term (0SF) in the gravitational self-force expansion for the spinning two-body problem with large mass hierarchy. By reformulating the geodesic and Mathisson-Papapetrou-Dixon equations as a recursive Berends-Giele type equation known from multi-gluon scattering, we develop a novel integration-by-parts formalism on the worldline that enables systematic computation of scattering observables - specifically the impulse and spin kick - to arbitrary orders in Newton's constant and spin. Here, the transition to a position space formalism is key. We present explicit results up to and including the physical 7PM order, thereby incorporating all relevant higher-spin and higher-curvature terms on the worldline, advancing beyond previous calculations. This work represents an initial step to reconceptualise the gravitational self-force expansion through worldline quantum field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14626 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spinning the Probe in Kerr with WQFT Hoogeveen, Jitze Jakobsen, Gustav Uhre Plefka, Jan High Energy Physics - Theory General Relativity and Quantum Cosmology We investigate the gravitational scattering of a spinning probe mass in a Kerr background using the worldline quantum field theory (WQFT) approach. This corresponds to the leading term (0SF) in the gravitational self-force expansion for the spinning two-body problem with large mass hierarchy. By reformulating the geodesic and Mathisson-Papapetrou-Dixon equations as a recursive Berends-Giele type equation known from multi-gluon scattering, we develop a novel integration-by-parts formalism on the worldline that enables systematic computation of scattering observables - specifically the impulse and spin kick - to arbitrary orders in Newton's constant and spin. Here, the transition to a position space formalism is key. We present explicit results up to and including the physical 7PM order, thereby incorporating all relevant higher-spin and higher-curvature terms on the worldline, advancing beyond previous calculations. This work represents an initial step to reconceptualise the gravitational self-force expansion through worldline quantum field theory. |
| title | Spinning the Probe in Kerr with WQFT |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.14626 |