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.

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

References in corpus (21)

• New Relations for Gauge-Theory Amplitudes
• Black holes and the double copy
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Direct extraction of one-loop integral coefficients
• The Kerr-Schild double copy in curved spacetime
• The Tune of Love and the Nature(ness) of Spacetime
• Tidal Effects in the Post-Minkowskian Expansion
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
• The Double Copy of Electric-Magnetic Duality
• Particle Acceleration on the Background of the Kerr-Taub-NUT Spacetime
• S-duality and the Double Copy
• 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
• Monopoles, shockwaves and the classical double copy
• Kerr-Newman stress-tensor from minimal coupling
• Charged perfect fluid disks as sources of Taub-NUT-type spacetimes
• Gravitational Wu-Yang Monopoles
• Topological dyonic Taub-Bolt/NUT-AdS: Thermodynamics and first law

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