Classical Observables using Exponentiated Spin factors: Electromagnetic Scattering

Abstract

In [arXiv:1906.10100], the authors argued that the Newman-Janis algorithm on the space of classical solutions in general relativity and electromagnetism could be used in the space of scattering amplitudes to map an amplitude with external scalar states to an amplitude associated to the scattering of "infinite spin particles". The minimal coupling of these particles to the gravitational or Maxwell field is equivalent to the classical coupling of the Kerr black hole with linearized gravity or the so-called $\sqrt{\text{Kerr}}$ charged state with the electromagnetic field. The action of the Newman-Janis mapping on scattering amplitudes was then used to compute the linear impulse at first post-Minkowskian (1PM) order, via the Kosower, Maybee, O'Connell (KMOC) formalism. In this paper, we continue with the idea of using the Newman-Janis mapping on the space of scalar QED amplitudes to compute classical observables such as the radiative gauge field and the angular impulse. We show that for tree-level amplitudes, the Newman-Janis action can be reinterpreted as a dressing of the photon propagator. This turns out to be an efficient way to compute these classical observables. Along the way, we highlight a subtlety that arises in proving the conservation of angular momentum for scalar -$\sqrt{\text{Kerr}}$ scattering.

v3: 36 pages, 4 figures, references updated, derivation of orbital angular impulse expression in the KMOC Formalism added (Appendix B), matched with the published version

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Cited by in corpus (4)

• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• Manifestation of Quantum Forces in Spacetime: Towards a General Theory of Quantum Forces
• Unexpected Symmetries of Kerr Black Hole Scattering
• Smoothness of Classical Limit in KMOC Formalism