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  Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order

Bernard, L., Blanchet, L., Bohé, A., Faye, G., & Marsat, S. (2017). Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order. Physical Review D, 96: 104043. doi:10.1103/PhysRevD.96.104043.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-AA3C-C Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E866-6
Genre: Journal Article

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 Creators:
Bernard, Laura, Author
Blanchet, Luc, Author
Bohé, Alejandro1, Author              
Faye, Guillaume, Author
Marsat, Sylvain, Author
Affiliations:
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
 Abstract: The Fokker action of point-particle binaries at the fourth post-Newtonian (4PN) approximation of general relativity has been determined previously. However two ambiguity parameters associated with infra-red (IR) divergencies of spatial integrals had to be introduced. These two parameters were fixed by comparison with gravitational self-force (GSF) calculations of the conserved energy and periastron advance for circular orbits in the test-mass limit. In the present paper we determine one of these ambiguities from first principle, by means of dimensional regularization. Our computation is thus entirely defined within the dimensional regularization scheme, for treating at once the IR and ultra-violet (UV) divergencies. In particular, we obtain crucial contributions coming from the non-local tail term in arbitrary dimensions. The remaining ambiguity parameter is equivalent to the one appearing in the ADM Hamiltonian approach.

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 Dates: 2017-06-262017-07-052017
 Publication Status: Published in print
 Pages: 25 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1706.08480
URI: http://arxiv.org/abs/1706.08480
DOI: 10.1103/PhysRevD.96.104043
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 96 Sequence Number: 104043 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258