Gravitational radiative corrections from effective field theory
By Walter D. Goldberger, A. Ross. 2009
188 citations recorded by the source corpus.
In this paper we construct an effective field theory (EFT) that describes long wavelength gravitational radiation from compact systems. To leading order, this EFT consists of the multipole expansion, which we describe in terms of a diffeomorphism invariant point particle Lagrangian. The EFT also systematically captures 'post-Minkowskian' corrections to the multipole expansion due to nonlinear terms in general relativity. Specifically, we compute long distance corrections from the coupling of the (mass) monopole moment to the quadrupole moment, including up to two mass insertions. Along the way, we encounter both logarithmic short distance (UV) and long wavelength (IR) divergences. We show that the UV divergences can be (1) absorbed into a renormalization of the multipole moments and (2) resummed via the renormalization group. The IR singularities are shown to cancel from properly defined physical observables. As a concrete example of the formalism, we use this EFT to reproduce a number of post-Newtonian corrections to the gravitational wave energy flux from nonrelativistic binaries, including long distance effects up to 3 post-Newtonian (v{sup 6}) order. Our results verify that the factorization of scales proposed in the NRGR framework of Goldberger and Rothstein is consistent up to order 3PN.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/5fc21dd636bec2da9c5e9c7ead77a0ab0b024936
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Citations in the corpus
- Spinning gravitating objects in the effective field theory in the post-Newtonian scheme (2015, background): “We first spell out the general considerations for the construction of these nonminimal couplings, building on [12, 13, 42, 43].”
- Post-Minkowskian effective field theory for conservative binary dynamics (2020, background): “x j1) 2 TF from the diagram Fig 1a, and a tail-type correction from Fig 1b, in the long-wavelength expansion [33].”
- The Lagrangian-space Effective Field Theory of large scale structures (2013, methodology): “6 In section 5 we will derive the same equations from an action approach, following related ideas developed in [29, 30, 31, 32, 33] in the context of gravitational wave emission from binaries.”
- Classical and quantum results on logarithmic terms in the soft theorem in four dimensions (2018, background): “in [91,93,94].”
- The Effective Field Theorist's Approach to Gravitational Dynamics (2016, methodology): “The computations in the EFT approach then triggered a renewed interest in the community, leading to confirmation of the results obtained in [71–75] for the spinspin gravitational potentials at NLO (3PN).”
- From boundary data to bound states (2019, methodology): “These can be incorporated following the analysis in [43], or using the EFT approach for radiation modes [11, 19– 21, 23, 68–70].”
- Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian (2016, background): “Previous work on this topic already derived the quadrupolar interaction terms [71, 72] and considered a dynamical quadrupole in the context of absorption from the black-hole horizon [71].”
- Black hole stereotyping: induced gravito-static polarization (2011, background): “The situation is familiar in quantum field theory where it leads to RG flow, and here it provides another example, quite pleasing, for classical RG flow see [11, 28, 29].”
- Scattering of spinning black holes from exponentiated soft factors (2018, background): “The latter one has recently appeared in the computation of tail effects from the EFT perspective [65, 73, 74].”