Classical and quantum double copy of back-reaction

Abstract

We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction on these fields from the radiation emitted by the probe particles: classically through background-coupled worldline theories, and at tree-level in the quantum theory through three-point amplitudes. Consistency of these two methods is established explicitly. We show that the gauge theory and gravity amplitudes are related by the double copy for amplitudes on plane wave backgrounds. Finally, we demonstrate that in four-dimensions these calculations can be carried out with a background-dressed version of the massive spinor-helicity formalism.

arXiv comment34 pages, 1 figure. v2: published version, improvements to section 4.1

References in corpus (49)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• An Effective Field Theory of Gravity for Extended Objects
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Gravity as the Square of Gauge Theory
• Experimental evidence of radiation reaction in the collision of a high-intensity laser pulse with a laser-wakefield accelerated electron beam
• Black holes and the double copy
• Experimental signatures of the quantum nature of radiation reaction in the field of an ultra-intense laser
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Radiation and the classical double copy for color charges
• Observables and amplitudes for spinning particles and black holes
• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• Perturbative spacetimes from Yang-Mills theory
• The double copy: Bremsstrahlung and accelerating black holes
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• An electromagnetic analog of gravitational wave memory
• The Kerr-Schild double copy in curved spacetime
• Classical gluon and graviton radiation from the bi-adjoint scalar double copy
• Gravitational Radiation from Color-Kinematics Duality
• Scattering on plane waves and the double copy
• A perturbative and gauge invariant treatment of gravitational wave memory
• Spinning particles, axion radiation, and the classical double copy
• Experimental Evidence of Quantum Radiation Reaction in Aligned Crystals
• Bound states and the classical double copy
• The Memory Effect for Plane Gravitational Waves
• Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions
• Double copy structure of CFT correlators
• Infra-red divergences in plane wave backgrounds
• Color Memory
• Screw-symmetric gravitational waves: a double copy of the vortex
• Radiation reaction from QED: lightfront perturbation theory in a plane wave background
• Plane wave backgrounds and colour-kinematics duality
• Lorentz Constraints on Massive Three-Point Amplitudes
• Strings, extended objects, and the classical double copy
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• The Radiative Double Copy for Einstein-Yang-Mills Theory
• Approximating higher-order nonlinear QED processes with first-order building blocks
• MHV scattering of gluons and gravitons in chiral strong fields
• Wilson loops in four-dimensional quantum gravity
• Gauge $\times$ Gauge on Spheres
• Scaling and conformal symmetries for plane gravitational waves
• Gluon helicity flip in a plane wave background
• Analytical Infrared Limit of Nonlinear Thomson Scattering Including Radiation Reaction
• The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red

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• Gravitational wave memory and its effects on particles and fields
• Next-to-MHV Yang-Mills kinematic algebra
• Hawking radiation from the double copy
• The Weyl double copy from twistor space
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• Classical physics from amplitudes on curved backgrounds
• Exact Green's function for fermions in an external Yang-Mills gauge field
• NS-NS Spacetimes from Amplitudes
• Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy