Classical Double Copy of Worldline Quantum Field Theory

Abstract

The recently developed worldline quantum field theory (WQFT) formalism for the classical gravitational scattering of massive bodies is extended to massive, charged point particles coupling to bi-adjoint scalar field theory, Yang-Mills theory, and dilaton-gravity. We establish a classical double copy relation in these WQFTs for classical observables (deflection, radiation). The bi-adjoint scalar field theory fixes the locality structure of the double copy from Yang-Mills to dilaton-gravity. Using this the eikonal scattering phase (or free energy of the WQFT) is computed to next-to-leading order (NLO) in coupling constants using the double copy as well as directly finding full agreement. We clarify the relation of our approach to previous studies in the effective field theory formalism. Finally, the equivalence of the WQFT double copy to the double copy relation of the classical limit of quantum scattering amplitudes is shown explicitly up to NLO.

11 pages

References in corpus (12)

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• Black holes and the double copy
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• The Kinematic Algebra From the Self-Dual Sector
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Cited by in corpus (13)

• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Gauge invariant double copy of Yang-Mills theory: the quartic theory
• Light bending from eikonal in worldline quantum field theory
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Classical off-shell currents
• Binary Dynamics from Worldline QFT for Scalar-QED
• Quantization Conditions and the Double Copy
• On kinetic theories with color and spin from amplitudes
• Classical physics from amplitudes on curved backgrounds
• The Radial Action from Probe Amplitudes to All Orders