Dynamics of binary systems to fourth Post-Minkowskian order from the effective field theory approach

Dlapa, Christoph; Kälin, Gregor; Liu, Zhengwen; Porto, Rafael A.

doi:10.1016/j.physletb.2022.137203

Cited by 97 publications

(50 citation statements)

References 40 publications

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“…Fixing boundary conditions at past infinity then requires the use of retarded propagators. This illustrates a key advantage of the WQFT over PM EFT-style methods [35,37,39,40]: in the latter, integrating out the gravitons to leave an effective worldline action -separating bulk from worldline degrees of freedom -obscures the causal nature of the observables. While the need to double degrees of freedom in the action can still be cleverly avoided by focusing on specific radiative observables, such as the radiated four-momentum P µ rad [42][43][44], we prefer a more flexible approach that produces complete observables.…”

Section: Discussionmentioning

confidence: 99%

“…Initially introduced for the computation of an effective worldline action in the PN expansion [9][10][11][12][13][14][15][16][17] -see [33,34] for reviews -these have now been successfully extended to the scattering problem in a PM expansion [35]. Conservative observables including spin effects have been computed at 2PM order [36], at 3PM order including tidal effects [37,38] and at 4PM order [39,40]. In this worldline EFT approach graviton fluctuations h µν are integrated out of the path integral of the above action, S EH + 2 i=1 S (i) pm , yielding an effective action Γ[x i ] describing only the the massive bodies' positions.…”

mentioning

confidence: 99%

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All Things Retarded: Radiation-Reaction in Worldline Quantum Field Theory

Jakobsen¹,

Mogull²,

Plefka³

et al. 2022

Preprint

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We exhibit an initial-value formulation of the worldline quantum field theory (WQFT) approach to the classical two-body problem in general relativity. We show that the Schwinger-Keldysh (in-in) formalism leads to purely retarded propagators in the evaluation of observables in the WQFT. Integration technology for retarded master integrals is introduced at third post-Minkowskian (3PM) order. As an application we compute the complete radiation-reacted impulse and radiated four momentum for the scattering of two non-spinning neutron stars including tidal effects at 3PM order, as well as the leading (2PM) far-field gravitational waveform.

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Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

All Things Retarded: Radiation-Reaction in Worldline Quantum Field Theory

Jakobsen¹,

Mogull²,

Plefka³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…The scattering of two Schwarzschild black holes has been understood completely up to 3PM by studying the 2 → 2 amplitude of two massive scalars [8][9][10][11][12][13][14][15][16][17]. Studies of spinless scattering continue to break new ground, with conservative dynamics at 4PM emerging from the same process evaluated at three-loop order [18][19][20][21]. Tidal effects have also been shown to be accessible to scattering-amplitude techniques, by including contributions from higher-curvature operators to the scattering [22][23][24][25][26][27][28].…”

Section: Jhep07(2022)072mentioning

confidence: 99%

Searching for Kerr in the 2PM amplitude

Aoude

Haddad

Helset

2022

J. High Energ. Phys.

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The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical poles to the minimal, all-spin three-point amplitudes) in the classical limit for QED, QCD, and gravity. The cured amplitudes are subject to deformations by contact terms, the vast majority of whose contributions we can fix by imposing a relation between spin structures — motivated by lower spin multipoles of black hole scattering — at the second post-Minkowskian (2PM) order. For QED and gravity, this leaves a modest number of unfixed coefficients parametrizing contact-term deformations, while the QCD amplitude is uniquely determined. Our gravitational Compton amplitude allows us to push the state-of-the-art of spinning-2PM scattering to any order in the spin vectors of both objects; we present results here and in the supplementary material file 2PMSpin8Aux.nb up to eighth order in the spin vectors. Interestingly, despite leftover coefficients in the Compton amplitude, imposing the aforementioned relation between spin structures uniquely fixes some higher-spin parts of the 2PM amplitude.

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“…The scattering angle is the main link for connecting the scattering amplitudes to the dynamics of the two-body system. It has been derived in many independent methods in different regimes [23,[47][48][49][50][62][63][64][65].…”

Section: 10)mentioning

confidence: 99%

An S -matrix approach to gravitational-wave physics

Vanhove

2022

Phil. Trans. R. Soc. A.

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The detection of gravitational waves emitted by binary systems has opened a new astronomical window into the Universe. We describe recent advances in the field of scattering amplitudes applied to the post-Minkowskian expansion, and the extraction of the effective two-body gravitational potential. The techniques presented here apply to any effective field theory of gravity and are not restricted to four-dimensional Einstein gravity. This article is part of the theme issue ‘The future of mathematical cosmology, Volume 2’.

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Dynamics of binary systems to fourth Post-Minkowskian order from the effective field theory approach

Cited by 97 publications

References 40 publications

All Things Retarded: Radiation-Reaction in Worldline Quantum Field Theory

All Things Retarded: Radiation-Reaction in Worldline Quantum Field Theory

Searching for Kerr in the 2PM amplitude

An S -matrix approach to gravitational-wave physics

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