Scalar QED as a toy model for higher-order effects in classical gravitational scattering

Abstract

Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth order in the charges (two-loop order) in a classical regime analogous to the post-Minkowskian expansion in General Relativity. We employ modern scattering amplitude tools and extract classical observables by both eikonal methods and the formalism of Kosower, Maybee, and O'Connell (KMOC). In addition, we provide a simplified approach to extracting the radial action beyond the conservative sector.

44pages; Results included as an ancillary file

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Cited by in corpus (18)

• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• Radiated Angular Momentum and Dissipative Effects in Classical Scattering
• Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
• All order gravitational waveforms from scattering amplitudes
• Observables from the Spinning Eikonal
• Gravitational Scattering and Beyond from Extreme Mass Ratio Effective Field Theory
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Binary Dynamics from Worldline QFT for Scalar-QED
• Large Gauge Effects and the Structure of Amplitudes
• Wave scattering event shapes at high energies
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Classical Observables using Exponentiated Spin factors: Electromagnetic Scattering
• Charged particle scattering near the horizon
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• Influence of a Perfectly Conducting Plate on the Uehling Potential of QED
• Classical observables from partial wave amplitudes
• Effective-one-body formalism for leading-order radiative effects in the post-linear framework