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Tail effect in gravitational radiation reaction: Time nonlocality and renormalization group evolution

Galley, Chad R. and Leibovich, Adam K. and Porto, Rafael A. and Ross, Andreas (2016) Tail effect in gravitational radiation reaction: Time nonlocality and renormalization group evolution. Physical Review D, 93 (12). Art. No. 124010. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20160606-110117433

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Abstract

We use the effective field theory (EFT) framework to calculate the tail effect in gravitational radiation reaction, which enters at the fourth post-Newtonian order in the dynamics of a binary system. The computation entails a subtle interplay between the near (or potential) and far (or radiation) zones. In particular, we find that the tail contribution to the effective action is nonlocal in time and features both a dissipative and a “conservative” term. The latter includes a logarithmic ultraviolet (UV) divergence, which we show cancels against an infrared (IR) singularity found in the (conservative) near zone. The origin of this behavior in the long-distance EFT is due to the point-particle limit—shrinking the binary to a point—which transforms a would-be infrared singularity into an ultraviolet divergence. This is a common occurrence in an EFT approach, which furthermore allows us to use renormalization group (RG) techniques to resum the resulting logarithmic contributions. We then derive the RG evolution for the binding potential and total mass/energy, and find agreement with the results obtained imposing the conservation of the (pseudo) stress-energy tensor in the radiation theory. While the calculation of the leading tail contribution to the effective action involves only one diagram, five are needed for the one-point function. This suggests logarithmic corrections may be easier to incorporate in this fashion. We conclude with a few remarks on the nature of these IR/UV singularities, the (lack of) ambiguities recently discussed in the literature, and the completeness of the analytic post-Newtonian framework.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.93.124010DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.93.124010PublisherArticle
http://arxiv.org/abs/1511.07379arXivDiscussion Paper
Alternate Title:The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution
Additional Information:© 2016 American Physical Society. Received 21 January 2016; published 6 June 2016. We thank Ira Rothstein for very helpful discussions. C. R. G. is supported by NSF grant PHY-1404569 to the California Institute of Technology and also thanks the Brinson Foundation for partial support. A. K. L. is supported by NSF grant PHY-1519175. R. A. P is supported by the Simons Foundation and São Paulo Research Foundation (FAPESP) Young Investigator Awards, grants 2014/25212-3 and 2014/10748-5. A. R. was supported by NASA grant 22645.1.1110173.
Group:Walter Burke Institute for Theoretical Physics, TAPIR
Funders:
Funding AgencyGrant Number
NSFPHY-1404569
Brinson FoundationUNSPECIFIED
NSFPHY-1519175
Simons FoundationUNSPECIFIED
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)2014/25212-3
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)2014/10748-5
NASA22645.1.1110173
Record Number:CaltechAUTHORS:20160606-110117433
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160606-110117433
Official Citation:Tail effect in gravitational radiation reaction: Time nonlocality and renormalization group evolution Chad R. Galley, Adam K. Leibovich, Rafael A. Porto, and Andreas Ross Phys. Rev. D 93, 124010
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67683
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Jun 2016 19:22
Last Modified:06 Jun 2016 19:22

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