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  Classical black hole scattering from a worldline quantum field theory

Mogull, G., Plefka, J., & Steinhoff, J. (2021). Classical black hole scattering from a worldline quantum field theory. Journal of High Energy Physics, 2021(02): 48. doi:10.1007/JHEP02(2021)048.

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 Creators:
Mogull, Gustav1, Author              
Plefka, Jan, Author
Steinhoff, Jan1, Author              
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1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: A precise link is derived between scalar-graviton S-matrix elements and expectation values of operators in a worldline quantum field theory (WQFT), both used to describe classical scattering of a pair of black holes. The link is formally provided by a worldline path integral representation of the graviton-dressed scalar propagator, which may be inserted into a traditional definition of the S-matrix in terms of time-ordered correlators. To calculate expectation values in the WQFT a new set of Feynman rules is introduced which treats the gravitational field $h_{\mu\nu}(x)$ and position $x_i^\mu(\tau_i)$ of each black hole on equal footing. Using these both the next-order classical gravitational radiation $\langle h^{\mu\nu}(k)\rangle$ (previously unknown) and deflection $\Delta p_i^\mu$ from a binary black hole scattering event are obtained. The latter can also be obtained from the eikonal phase of a $2\to2$ scalar S-matrix, which we show to correspond to the free energy of the WQFT.

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 Dates: 2020-10-062020-10-282021
 Publication Status: Published in print
 Pages: 37 pages + references
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 Rev. Type: -
 Identifiers: arXiv: 2010.02865
DOI: 10.1007/JHEP02(2021)048
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2021 (02) Sequence Number: 48 Start / End Page: - Identifier: -