Effective field theory calculation of second post-Newtonian binary dynamics

Abstract

We use the effective field theory for gravitational bound states, proposed by Goldberger and Rothstein, to compute the interaction Lagrangian of a binary system at the second Post-Newtonian order. Throughout the calculation, we use a metric parametrization based on a temporal Kaluza-Klein decomposition and test the claim by Kol and Smolkin that this parametrization provides important calculational advantages. We demonstrate how to use the effective field theory method efficiently in precision calculations, and we reproduce known results for the second Post-Newtonian order equations of motion in harmonic gauge in a straightforward manner.

Replaced with published version

References in corpus (47)

• Quasi-Normal Modes of Stars and Black Holes
• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• An Effective Field Theory of Gravity for Extended Objects
• The Last Three Minutes: Issues in Gravitational Wave Measurements of Coalescing Compact Binaries
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions
• Post-Newtonian corrections to the motion of spinning bodies in NRGR
• Dimensional regularization of the gravitational interaction of point masses
• Event rate estimates for LISA extreme mass ratio capture sources
• Stable Operation of a 300-m Laser Interferometer with Sufficient Sensitivity to Detect Gravitational-Wave Events within our Galaxy
• Gravitational-Wave Inspiral of Compact Binary Systems to 7/2 Post-Newtonian Order
• 3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems
• Numerical simulation of orbiting black holes
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• Binary black hole merger dynamics and waveforms
• Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms
• General relativistic dynamics of compact binaries at the third post-Newtonian order
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation-reaction to 3.5 post-Newtonian order
• Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries
• Dissipative Effects in the Worldline Approach to Black Hole Dynamics
• Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order
• Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Gravitational-wave tails of tails
• Energy losses by gravitational radiation in inspiralling compact binaries to five halves post-Newtonian order
• Equivalence between the ADM-Hamiltonian and the harmonic-coordinates approaches to the third post-Newtonian dynamics of compact binaries
• The last orbit of binary black holes
• New derivation of a third post-Newtonian equation of motion for relativistic compact binaries without ambiguity
• The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part
• On the equations of motion of point-particle binaries at the third post-Newtonian order
• Classical Physics and Quantum Loops
• Absorption Effects due to Spin in the Worldline Approach to Black Hole Dynamics
• Gravitational radiation from a particle in circular orbit around a black hole. VI. Accuracy of the post-Newtonian expansion
• On Estimation of the Post-Newtonian Parameters in the Gravitational-Wave Emission of a Coalescing Binary
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• Equation of motion for relativistic compact binaries with the strong field point particle limit: Third post-Newtonian order
• Classical Effective Field Theory and Caged Black Holes
• Equation of motion for relativistic compact binaries with the strong field point particle limit : the second and half post-Newtonian order
• Towers of Gravitational Theories
• Accurate Evolution of Orbiting Binary Black Holes
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. V. Evidence for the strong equivalence principle to second post-Newtonian order
• Gravitational radiation in d>4 from effective field theory
• Search for gravitational waves associated with GRB 050915a using the Virgo detector
• Results of the search for inspiraling compact star binaries from TAMA300's observation in 2000-2004

Cited by in corpus (100)

• Amplitudes, Observables, and Classical Scattering
• The Effective Field Theorist's Approach to Gravitational Dynamics
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• General Relativity from Scattering Amplitudes
• 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
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Gravitational radiative corrections from effective field theory
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
• 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
• 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
• Effective field theory calculation of conservative binary dynamics at third post-Newtonian order
• Effective field theory methods to model compact binaries
• Tidal Effects in the Post-Minkowskian Expansion
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Classical Gravitational Scattering at $\mathcal{O}(G^3)$ from Feynman Diagrams
• Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order
• The gravitational S-matrix
• Dissipative effects in the Effective Field Theory of Inflation
• Bound states and the classical double copy
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity
• Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 Post-Newtonian order
• Leading Nonlinear Tidal Effects and Scattering Amplitudes
• 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
• Next-to-next-to-leading order gravitational spin-squared potential via the effective field theory for spinning objects in the post-Newtonian scheme
• Testing binary dynamics in gravity at the sixth post-Newtonian level
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• Multipole expansion at the level of the action
• Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Tail terms in gravitational radiation reaction via effective field theory
• Next-to-next-to-leading order gravitational spin-orbit coupling via the effective field theory for spinning objects in the post-Newtonian scheme
• Canonical Formulation of Spin in General Relativity
• Canonical Hamiltonian for an extended test body in curved spacetime: To quadratic order in spin
• Next-to-next-to-leading order post-Newtonian linear-in-spin binary Hamiltonians
• Mining the Geodesic Equation for Scattering Data
• Resummed spinning waveforms from five-point amplitudes
• Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO
• Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• 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
• Radiation reaction at 3.5 post-Newtonian order in effective field theory
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Comparing space+time decompositions in the post-Newtonian limit
• The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the Effective Field Theory approach
• Gravitational self-force in the ultra-relativistic limit: The 'large-N' expansion
• Gravitating binaries at 5PN in the post-Minkowskian approximation
• Fourth post-Newtonian effective-one-body Hamiltonians with generic spins
• The Lamb shift and the gravitational binding energy for binary black holes
• Gravitational Scattering and Beyond from Extreme Mass Ratio Effective Field Theory
• Einstein's action and the harmonic gauge in terms of Newtonian fields
• Dressing the Post-Newtonian two-body problem and Classical Effective Field Theory
• Quantum Hotspots: Mean Fields, Open EFTs, Nonlocality and Decoherence Near Black Holes
• Elimination of the spin supplementary condition in the effective field theory approach to the post-Newtonian approximation
• Gravitational bremsstrahlung in ultra-planckian collisions
• Efficient resummation of high post-Newtonian contributions to the binding energy
• Theory of post-Newtonian radiation and reaction
• Binary Dynamics from Worldline QFT for Scalar-QED
• Quantifying the Influence of Jupiter on the Earth's Orbital Cycles
• Qubit Heating Near a Hotspot
• System Architecture and Planetary Obliquity: Implications for Long-Term Habitability
• A nonlinear scalar model of extreme mass ratio inspirals in effective field theory I. Self force through third order
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Extracting the three- and four-graviton vertices from binary pulsars and coalescing binaries
• Caged black hole thermodynamics: Charge, the extremal limit, and finite size effects
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Gravitational radiation from inspiralling compact binaries to N${}^3$LO in the Effective Field Theory approach
• Classical 3-loop 2-body diagrams
• HD 83443c: A highly eccentric giant planet on a 22-year orbit
• Half-solution to the two-body problem in General Relativity
• Symmetries of Feynman integrals and the Integration By Parts method
• The role of Jupiter in driving Earth's orbital evolution: an update
• Binary dynamics to second post-Newtonian order in scalar-tensor and Einstein-scalar-Gauss-Bonnet gravity from effective field theory
• Post-Newtonian Dynamics of Spinning Black Hole Binaries in Einstein-Scalar-Gauss-Bonnet Gravity
• Binary dynamics from Einstein-Maxwell theory at second post-Newtonian order using effective field theory
• Classical gravitational scattering from a gauge-invariant double copy
• Scrambling and Entangling Spinning Particles
• Fourth-post-Newtonian-exact approximation to General Relativity
• Classical Effective Field Theory for Weak Ultra Relativistic Scattering
• Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order
• Kite diagram through Symmetries of Feynman Integrals
• The influence of Jupiter, Mars and Venus on Earth's orbital evolution
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
• Lorentz from Galilei, deductively