Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory

Abstract

Using the recently established formalism of a worldline quantum field theory (WQFT) description of the classical scattering of two spinless black holes, we compute the far-field time-domain waveform of the gravitational waves produced in the encounter at leading order in the post-Minkowskian (weak field, but generic velocity) expansion. We reproduce previous results of Kovacs and Thorne in a highly economic way. Then using the waveform we extract the leading-order total radiated angular momentum and energy (including differential results). Our work may enable crucial improvements of gravitational-wave predictions in the regime of large relative velocities.

arXiv commentv3: additional supplementary material; accepted for publication in PRL

References in corpus (122)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• New Relations for Gauge-Theory Amplitudes
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• An Effective Field Theory of Gravity for Extended Objects
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• The Effective Field Theorist's Approach to Gravitational Dynamics
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• High-energy gravitational scattering and the general relativistic two-body problem
• General Relativity from Scattering Amplitudes
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• Classical Space-Times from the S Matrix
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Radiation and the classical double copy for color charges
• Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
• Classical black hole scattering from a worldline quantum field theory
• The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• From Boundary Data to Bound States
• Observables and amplitudes for spinning particles and black holes
• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• Post-Newtonian Gravitational Radiation and Equations of Motion via Direct Integration of the Relaxed Einstein Equations. I. Foundations
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• Classical and quantum scattering in post-Minkowskian gravity
• On-shell Techniques and Universal Results in Quantum Gravity
• Gravitational radiative corrections from effective field theory
• Gravitational waves from inspiralling compact binaries: Energy flux to third post-Newtonian order
• Radiative contribution to classical gravitational scattering at the third order in $G$
• On Post-Minkowskian Hamiltonians in General Relativity
• From Boundary Data to Bound States II: Scattering Angle to Dynamical Invariants (with Twist)
• On-shell heavy particle effective theories
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scattering
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Universality of ultra-relativistic gravitational scattering
• Gravitational Bremsstrahlung from Reverse Unitarity
• Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Novel approach to binary dynamics: application to the fifth post-Newtonian level
• Gravitational spin Hamiltonians from the S matrix
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Heavy Black Hole Effective Theory
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
• Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant
• The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian
• The Duality Between Color and Kinematics and its Applications
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• Effective field theory methods to model compact binaries
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order
• Universality in the classical limit of massless gravitational scattering
• Tidal Effects in the Post-Minkowskian Expansion
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Static two-body potential at fifth post-Newtonian order
• Classical Gravitational Scattering at $\mathcal{O}(G^3)$ from Feynman Diagrams
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity
• Second-order Post-Minkowskian scattering in arbitrary dimensions
• Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 Post-Newtonian order
• Detection Rate Estimates of Gravity-waves Emitted During Parabolic Encounters of Stellar Black Holes in Globular Clusters
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• Logarithmic Terms in the Soft Expansion in Four Dimensions
• Classical potential for general spinning bodies
• Testing binary dynamics in gravity at the sixth post-Newtonian level
• A worldsheet for Kerr
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• On the Apparent Ambiguities in the Post-Newtonian Expansion for Binary Systems
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• Gravitational spin-orbit coupling in binary systems at the second post-Minkowskian approximation
• Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory
• Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity at subleading level
• Tidal effects in quantum field theory
• Towers of Gravitational Theories
• Scattering of tidally interacting bodies in post-Minkowskian gravity
• Mining the Geodesic Equation for Scattering Data
• Gravitational spin-orbit coupling through third-subleading post-Newtonian order: from first-order self-force to arbitrary mass ratios
• Gravity Waves from Soft Theorem in General Dimensions
• On higher-derivative effects on the gravitational potential and particle bending
• Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects
• Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects
• Gravitational wave energy spectrum of hyperbolic encounters
• The 6th Post-Newtonian Potential Terms at $O(G_N^4)$
• Tidal effects for spinning particles
• Classical Sub-subleading Soft Photon and Soft Graviton Theorems in Four Spacetime Dimensions
• Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
• NLO gravitational quartic-in-spin interaction
• On the four-loop static contribution to the gravitational interaction potential of two point masses
• A Classical Proof of the Classical Soft Graviton Theorem in D>4
• Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the Effective Field Theory approach
• A note on the absence of $R^2$ corrections to Newton's potential
• Equations of motion of self-gravitating $N$-body systems in the first post-Minkowskian approximation
• Coulombic contribution to the flux of angular momentum in general relativity
• Three-Body Effective Potential in General Relativity at Second Post-Minkowskian Order and Resulting Post-Newtonian Contributions
• A note on the gravitational wave energy spectrum of parabolic and hyperbolic encounters
• Gravitational waves from stellar encounters

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• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
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• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
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• From Boundary Data to Bound States III: Radiative Effects
• Radiated momentum and radiation-reaction in gravitational two-body scattering including time-asymmetric effects
• Angular momentum of zero-frequency gravitons
• Classical Double Copy of Worldline Quantum Field Theory
• Infrared Divergences and the Eikonal Exponentiation
• Self-force effects in post-Minkowskian scattering
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• Gravitational Wave observatories may be able to detect hyperbolic encounters of Black Holes
• Classical Spin Gravitational Compton Scattering
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• Black Holes in Klein Space
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Bethe-Salpeter equation for classical gravitational bound states
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Post-Minkowskian Theory Meets the Spinning Effective-One-Body Approach for Two-Body Scattering
• All order gravitational waveforms from scattering amplitudes
• Radiation-reaction and angular momentum loss at the second Post-Minkowskian order
• Gravitational Scattering and Beyond from Extreme Mass Ratio Effective Field Theory
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• Gravitational Bound Waveforms from Amplitudes
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Remodeling the Effective One-Body Formalism in Post-Minkowskian Gravity
• Scattering and dynamical capture of two black holes: synergies between numerical and analytical methods
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Classical off-shell currents
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Binary Dynamics from Worldline QFT for Scalar-QED
• Large Gauge Effects and the Structure of Amplitudes
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Worldline description of a bi-adjoint scalar and the zeroth copy
• Quantization Conditions and the Double Copy
• Unified Treatment of null and Spatial Infinity IV: Angular Momentum at Null and Spatial Infinity
• The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Wave scattering event shapes at high energies
• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Radiation eikonal for post-Minkowskian observables
• Charged test-particle scattering and effective one-body metrics with spin
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Detectability of stochastic gravitational wave background from weakly hyperbolic encounters
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• Dirac brackets for classical radiative observables
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• Waveforms from Amplitudes
• Spinning waveforms of scalar radiation in quadratic modified gravity
• Testing the Boundary-to-Bound Correspondence with Numerical Relativity
• Machine Learning Post-Minkowskian Integrals
• Classical gravitational scattering from a gauge-invariant double copy
• Scrambling and Entangling Spinning Particles
• Strong Field Scattering of Two Black Holes: Exploring Gauge Flexibility
• On kinetic theories with color and spin from amplitudes
• Supertranslation ambiguity in post-Minkowskian expansion
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• The Radial Action from Probe Amplitudes to All Orders
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