Gravitational Dyonic Amplitude at One-Loop and its Inconsistency with the Classical Impulse

Abstract

The recent proposal [1911.06318, 2010.07861] of implementing electric-magnetic duality rotation at the level of perturbative scattering amplitudes and its generalisation to gravitational context where usual gravitational mass is rotated to the NUT parameter of the Taub-NUT spacetime opens up an interesting avenue for studying NUT-charged objects as dynamical entities, in contrast to the usual approach where NUT-charged objects are considered as a static background. We extend the tree-order analysis to one-loop order and find a disagreement between geodesic motion on Taub-NUT background and impulse computation of scattering amplitudes. As a by-product of our analysis, we find a relation between tidal response parameters and resonance excitation parameters in the language of quantum field theory scattering amplitudes.

arXiv comment32 pages, 1 figure, 2 tables; version published + minor updates; any comments welcome

References in corpus (57)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• The String Landscape, Black Holes and Gravity as the Weakest Force
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Effective one-body approach to general relativistic two-body dynamics
• New Relations for Gauge-Theory Amplitudes
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• Duality Symmetric Actions
• Gravity as the Square of Gauge Theory
• Black holes and the double copy
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Direct extraction of one-loop integral coefficients
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Classical Space-Times from the S Matrix
• The classical double copy for Taub-NUT spacetime
• Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scattering
• The Kerr-Schild double copy in curved spacetime
• Double copy for massive quantum particles with spin
• Classical Physics and Quantum Loops
• The Tune of Love and the Nature(ness) of Spacetime
• Tidal Effects in the Post-Minkowskian Expansion
• Bound states and the classical double copy
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
• Particle Acceleration on the Background of the Kerr-Taub-NUT Spacetime
• The Double Copy of Electric-Magnetic Duality
• Classical potential for general spinning bodies
• Thermodynamics of Lorentzian Taub-NUT spacetimes
• Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy
• Kerr-Schild Double Field Theory and Classical Double Copy
• S-duality and the Double Copy
• Strong field limit analysis of gravitational lensing in Kerr-Taub-NUT spacetime
• Integrability of Black Hole Orbits in Maximal Supergravity
• The Classical Double Copy of a Point Charge
• Classical Yang-Mills observables from amplitudes
• Ehlers as EM duality in the double copy
• Kerr-Newman from Minimal Coupling
• The First Law for Rotating NUTs
• Monopoles, shockwaves and the classical double copy
• Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes
• Does the gravitomagnetic monopole exist? A clue from a black hole x-ray binary
• Circular Geodesics in the Kerr-Newman-Taub-NUT Space-time
• Kerr-Newman stress-tensor from minimal coupling
• Generalized Taub-NUT metrics and Killing-Yano tensors
• Gravitational Microlensing in NUT Space
• Charged perfect fluid disks as sources of Taub-NUT-type spacetimes
• Gravitational Analogues, Geometric Effects and Gravitomagnetic Charge
• Gravitational Wu-Yang Monopoles
• Possibility of Magnetic Mass Detection by the Next Generation of Microlensing Experiments
• Topological dyonic Taub-Bolt/NUT-AdS: Thermodynamics and first law
• Electromagnetic emissions from near-horizon region of an extreme Kerr-Taub-Nut black hole

Cited by in corpus (10)

• A worldsheet for Kerr
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Classical Solutions and their Double Copy in Split Signature
• Gravitational Faraday effect from on-shell amplitudes
• The single copy of the gravitational holonomy
• Quantum corrections to frame-dragging in scattering amplitudes
• Quantum corrections to tidal Love number for Schwarzschild black holes
• Quantization Conditions and the Double Copy
• The Radial Action from Probe Amplitudes to All Orders
• NS-NS Spacetimes from Amplitudes