“Narrative II”—the Unpublished Long Narrative Poem

Ross, Catherine

doi:10.2307/j.ctv8xnf98.13

Cited by 2 publications

(2 citation statements)

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“…This highlights the importance of independent methodologies.) In the radiation sector for non-spinning bodies, the radiated power loss was re-derived to NLO (1PN) [28] and NNLO (2PN) [279], which is nonetheless still behind the highest PN calculation at NNNLO (3PN), e.g. [57].…”

Section: Nrgr State Of the Artmentioning

confidence: 99%

The effective field theorist’s approach to gravitational dynamics

Porto¹

2016

Physics Reports

362

434

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Section: Nrgr State Of the Artmentioning

confidence: 99%

The effective field theorist’s approach to gravitational dynamics

Porto¹

2016

Physics Reports

362

434

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“…[4][5][6] (see [7] for a complete list of references.) On the other hand, in the radiative sector, the 1PN [8] and 2PN [9] radiative multipoles were computed within NRGR, which is however still below the state of the art for non-spinning binary systems at 3PN order, e.g. [7].…”

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confidence: 99%

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

Galley

Leibovich

Porto³

et al. 2016

Phys. Rev. D

136

229

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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 pointwhich 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.

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“Narrative II”—the Unpublished Long Narrative Poem

Cited by 2 publications

References 0 publications

The effective field theorist’s approach to gravitational dynamics

The effective field theorist’s approach to gravitational dynamics

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

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