Observables from the Spinning Eikonal

Abstract

We study the classical dynamics of spinning particles using scattering amplitudes and eikonal exponentiation. We show that observables are determined by a simple algorithm. A wealth of complexity arises in perturbation theory as positions, momenta and spins must be iteratively corrected at each order. Even though we restrict ourselves to one-loop computations at quadratic order in spin, nevertheless we encounter and resolve a number of subtle effects. Finally, we clarify the links between our work and various other eikonal approaches to spinning observables.

27 pages plus references, v2 matches published version

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Cited by in corpus (14)

• Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Radiation eikonal for post-Minkowskian observables
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• Dirac brackets for classical radiative observables
• Pair creation, backreaction, and resummation in strong fields
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Quantum Effects for Black Holes with On-Shell Amplitudes
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• On-shell approach to scalar hair in spinning binaries
• Double soft graviton factors from the gravitational Wilson line
• Unexpected Symmetries of Kerr Black Hole Scattering
• Gravitational multipoles from scattering amplitudes in higher dimensions