Sources of Gravitational Waves: Theory and Observations

Buonanno, A.; Sathyaprakash, B. S.

doi:10.1017/cbo9781139583961.009

Cited by 61 publications

(87 citation statements)

References 499 publications

(540 reference statements)

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“…The detection of gravitational waves (GWs) by the LIGO/Virgo collaborations [1] has initiated an unprecedented new epoch for explorations of the universe. After the remarkable historical detections, GW science will soon turn into the study of the properties of the sources, addressing foundational questions in astrophysics, cosmology and particle physics [2][3][4]. In particular, binary systems of comparable masses or extreme-mass ratios are posed to become the leading probe to test gravitational dynamics and the physics of compact objects, such as black holes and neutron stars, under unique conditions.…”

Section: Introductionmentioning

confidence: 99%

Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach. II. Renormalized Lagrangian

et al. 2019

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We complete the derivation of the conservative dynamics of binary systems to fourth Post-Newtonian (4PN) order in the effective field theory (EFT) approach. We present a self-contained (ambiguity-free) computation of the renormalized Lagrangian, entirely within the confines of the PN expansion. While we confirm the final results reported in the literature, we clarify several issues regarding intermediate infrared (IR) and ultraviolet (UV) divergences, as well as the renormalization procedure. First, we properly identify the IR and UV singularities using (only) dimensional regularization and the method of regions, which are the pillars of the EFT formalism. This requires a careful study of scaleless integrals in the potential region, as well as conservative contributions from radiation modes due to tail effects. As expected by consistency, the UV divergences in the near region (due to the point-particle limit) can be absorbed into two counter-terms in the worldline effective theory. The counter-terms can then be removed by field redefinitions, such that the renormalization scheme-dependence has no physical effect to 4PN order. The remaining IR poles, which are spurious in nature, are unambiguously removed by implementing the zero-bin subtraction in the EFT approach. The procedure transforms the IR singularities into UV counter-parts. As anticipated, the left-over UV poles explicitly cancel out against UV divergences in conservative terms from radiation-reaction, uniquely determining the gravitational potential. Similar artificial IR/UV poles, which are intimately linked to the split into regions, are manifest at lower orders. Starting at 4PN, both local-and nonlocal-in-time contributions from the radiation region enter in the conservative dynamics. Neither additional regulators nor ambiguity-parameters are introduced at any stage of the computations. A Feynman rules & Master integrals 28 B Spurious IR/UV poles 29References 33

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Section: Introductionmentioning

confidence: 99%

Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach. II. Renormalized Lagrangian

et al. 2019

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“…In conjunction, all of these results augment the knowledge of the dynamics of binary compact objects to 4PN order. For thorough reviews on the twobody problem and the EFT approach, see [7,[42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

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

Galley

Leibovich

Porto³

et al. 2016

Phys. Rev. D

128

224

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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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“…At this order conservative contributions are also known using more traditional methods [5] as well as the EFT approach [6,7], encompassing spin-independent [8][9][10][11][12][13][14][15][16][17][18] (see also [19,20]) and spin-dependent terms. 1 See [5,55] for extensive reviews on the postNewtonian expansion, and [56][57][58][59][60][61] for reviews on the EFT approach to the binary problem.…”

Section: Introductionmentioning

confidence: 99%

Radiation reaction for spinning bodies in effective field theory. II. Spin-spin effects

et al. 2017

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We compute the leading post-Newtonian (PN) contributions at quadratic order in the spins to the radiation-reaction acceleration and spin evolution for binary systems, entering at four-and-a-half PN order. Our calculation includes the backreaction from finite-size spin effects, which is presented for the first time. The computation is carried out, from first principles, using the effective field theory framework for spinning extended objects. At this order, nonconservative effects in the spin-spin sector are independent of the spin supplementary conditions. A nontrivial consistency check is performed by showing that the energy loss induced by the resulting radiation-reaction force is equivalent to the total emitted power in the far zone. We find that, in contrast to the spin-orbit contributions (reported in a companion paper), the radiation reaction affects the evolution of the spin vectors once spin-spin effects are incorporated.

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Sources of Gravitational Waves: Theory and Observations

Cited by 61 publications

References 499 publications

Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach. II. Renormalized Lagrangian

Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach. II. Renormalized Lagrangian

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

Radiation reaction for spinning bodies in effective field theory. II. Spin-spin effects

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