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  Next-to-next-to-leading order gravitational spin-squared potential via the effective field theory for spinning objects in the post-Newtonian scheme

Levi, M., & Steinhoff, J. (2016). Next-to-next-to-leading order gravitational spin-squared potential via the effective field theory for spinning objects in the post-Newtonian scheme. Journal of Cosmology and Astroparticle Physics, 2016(01): 008. doi:10.1088/1475-7516/2016/01/008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-C3DD-D Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F676-4
Genre: Journal Article

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 Creators:
Levi, Michele, 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: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: The next-to-next-to-leading order spin-squared interaction potential for generic compact binaries is derived for the first time via the effective field theory for gravitating spinning objects in the post-Newtonian scheme. The spin-squared sector is an intricate one, as it requires the consideration of the point particle action beyond minimal coupling, and mainly involves the spin-squared worldline couplings, which are quite complex, compared to the worldline couplings from the minimal coupling part of the action. This sector also involves the linear in spin couplings, as we go up in the nonlinearity of the interaction, and in the loop order. Hence, there is an excessive increase in the number of Feynman diagrams, of which more are higher loop ones. We provide all the Feynman diagrams and their values. The beneficial nonrelativistic gravitational fields are employed in the computation. This spin-squared correction, which enters at the fourth post-Newtonian order for rapidly rotating compact objects, completes the conservative sector up to the fourth post-Newtonian accuracy. The robustness of the effective field theory for gravitating spinning objects is shown here once again, as demonstrated in a recent series of papers by the authors, which obtained all spin dependent sectors, required up to the fourth post-Newtonian accuracy. The effective field theory of spinning objects allows to directly obtain the equations of motion, and the Hamiltonians, and these will be derived for the potential obtained here in a forthcoming paper.

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 Dates: 2015-06-182015-06-2920152016
 Publication Status: Published in print
 Pages: 26 pages, 6 figures; v2: typos fixed
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 Identifiers: arXiv: 1506.05794
URI: http://arxiv.org/abs/1506.05794
DOI: 10.1088/1475-7516/2016/01/008
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Title: Journal of Cosmology and Astroparticle Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2016 (01) Sequence Number: 008 Start / End Page: - Identifier: -