Tidal effects in quantum field theory

Abstract

We apply the Hilbert series to extend the gravitational action for a scalar field to a complete, non-redundant basis of higher-dimensional operators that is quadratic in the scalars and the Weyl tensor. Such an extension of the action fully describes tidal effects arising from operators involving two powers of the curvature. As an application of this new action, we compute all spinless tidal effects at the leading post-Minkowskian order. This computation is greatly simplified by appealing to the heavy limit, where only a severely constrained set of operators can contribute classically at the one-loop level. Finally, we use this amplitude to derive the $\mathcal{O}(G^2)$ tidal corrections to the Hamiltonian and the scattering angle.

arXiv comment13 pages + appendices, 1 figure. v2: corrected typo in EM amplitude

References in corpus (48)

• 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
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Counting Gauge Invariants: the Plethystic Program
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• Do Dark Matter Axions Form a Condensate with Long-Range Correlation?
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Classical Space-Times from the S Matrix
• From Boundary Data to Bound States
• Observables and amplitudes for spinning particles and black holes
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• On-shell Techniques and Universal Results in Quantum Gravity
• Kerr Black Holes as Elementary Particles
• On Post-Minkowskian Hamiltonians in General Relativity
• On-shell heavy particle effective theories
• Operator bases, $S$-matrices, and their partition functions
• Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description
• Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scattering
• Low-derivative operators of the Standard Model effective field theory via Hilbert series methods
• Gravitational spin Hamiltonians from the S matrix
• Heavy Black Hole Effective Theory
• Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox
• Hilbert series and operator bases with derivatives in effective field theories
• Universality in the classical limit of massless gravitational scattering
• Tidal Effects in the Post-Minkowskian Expansion
• Classical Gravitational Scattering at $\mathcal{O}(G^3)$ from Feynman Diagrams
• Post-Minkowskian Scattering Angle in Einstein Gravity
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• On the impact of dimension-eight SMEFT operators on Higgs measurements
• Second-order Post-Minkowskian scattering in arbitrary dimensions
• Classical potential for general spinning bodies
• Algebraic Structure of Lepton and Quark Flavor Invariants and CP Violation
• Effective Field Theory Amplitudes the On-Shell Way: Scalar and Vector Couplings to Gluons
• Effective Field Theory of Gravity to All Orders
• Scattering of tidally interacting bodies in post-Minkowskian gravity
• Relativistic Corrections to Nonrelativistic Effective Field Theories
• On higher-derivative effects on the gravitational potential and particle bending
• The double copy for heavy particles
• Tidal effects in the equations of motion of compact binary systems to next-to-next-to-leading post-Newtonian order
• Gravitational shock waves and scattering amplitudes
• The silence of binary Kerr
• Classical Nonrelativistic Effective Field Theories for a Real Scalar Field
• The Spectrum of Yang Mills on a Sphere
• Post-Minkowskian Hamiltonians in Modified Theories of Gravity

Cited by in corpus (48)

• Classical black hole scattering from a worldline quantum field theory
• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
• Gravitational Bremsstrahlung from Reverse Unitarity
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
• Static response and Love numbers of Schwarzschild black holes
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Leading Nonlinear Tidal Effects and Scattering Amplitudes
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• A worldsheet for Kerr
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Classical Solutions and their Double Copy in Split Signature
• Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Mining the Geodesic Equation for Scattering Data
• Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion
• Tidal effects for spinning particles
• Exponentiation of the leading eikonal with spin
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Recursion in the classical limit and the neutron-star Compton amplitude
• Amplitude bases in generic EFTs
• Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Flavor Invariants and Renormalization-group Equations in the Leptonic Sector with Massive Majorana Neutrinos
• Renormalizing Love: tidal effects at the third post-Newtonian order
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Gravitoelectric dynamical tides at second post-Newtonian order
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Effective observables for electromagnetic duality from novel amplitude decomposition
• Waveforms from Amplitudes
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• Machine Learning Post-Minkowskian Integrals
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• Yang-Mills observables: from KMOC to eikonal through EFT
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order
• NS-NS Spacetimes from Amplitudes