Spinning particles, axion radiation, and the classical double copy

Abstract

We extend the perturbative double copy between radiating classical sources in gauge theory and gravity to the case of spinning particles. We construct, to linear order in spins, perturbative radiating solutions to the classical Yang-Mills equations sourced by a set of interacting color charges with chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement rule proposed earlier by one of the authors, these solutions map onto radiation in a theory of interacting particles coupled to massless fields that include the graviton, a scalar (dilaton) $\varphi$ and the Kalb-Ramond axion field $B_{\mu \nu }$. Consistency of the double copy imposes constraints on the parameters of the theory on both the gauge and gravity sides of the correspondence. In particular, the color charges carry a chromomagnetic interaction which, in $d=4$, corresponds to a gyromagnetic ratio equal to Dirac's value $g=2$. The color-to-kinematics map implies that on the gravity side, the bulk theory of the fields $(\varphi ,g_{\mu \nu },B_{\mu \nu })$ has interactions which match those of $d$-dimensional `string gravity,' as is the case both in the BCJ double copy of pure gauge theory scattering amplitudes and the KLT relations between the tree-level $S$-matrix elements of open and closed string theory.

10+5 pages, LaTeX, 2 figures. v2:Fixed typos and added minor clarifications

References in corpus (15)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• New Relations for Gauge-Theory Amplitudes
• Black holes and the double copy
• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• The Kerr-Schild double copy in curved spacetime
• Scattering on plane waves and the double copy
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• A double copy for $\mathcal{N}=2$ supergravity: a linearised tale told on-shell
• (Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects
• Extended solutions for the biadjoint scalar field
• Gravitational radiation from the classical spinning double copy
• Factorization in Graviton Scattering and the "Natural" Value of the g-factor
• A multipole-expanded effective field theory for vortex ring-sound interactions

Cited by in corpus (90)

• 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
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Double copy for massive quantum particles with spin
• Gravitational Radiation from Color-Kinematics Duality
• Type D Spacetimes and the Weyl Double Copy
• SUSY in the Sky with Gravitons
• Tidal Effects in the Post-Minkowskian Expansion
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• A Twistorial Foundation for the Classical Double Copy
• Effective action of dilaton gravity as the classical double copy of Yang-Mills theory
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• A worldsheet for Kerr
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Topology and Wilson lines: global aspects of the double copy
• Mining the Geodesic Equation for Scattering Data
• Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO
• The convolutional double copy: a case study with a point
• A double copy for asymptotic symmetries in the self-dual sector
• Classical Yang-Mills observables from amplitudes
• Gravity Waves from Soft Theorem in General Dimensions
• Gravitational radiation from the classical spinning double copy
• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• Classical and quantum double copy of back-reaction
• On the Double Copy for Spinning Matter
• Classical Double Copy of Worldline Quantum Field Theory
• Classical Sub-subleading Soft Photon and Soft Graviton Theorems in Four Spacetime Dimensions
• Monopoles, shockwaves and the classical double copy
• Gravitational shock waves and scattering amplitudes
• Biadjoint wires
• Unraveling conformal gravity amplitudes
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• New heavenly double copies
• Massive Gravity from Double Copy
• The Double Copy of Massive Scalar-QCD
• A Classical Proof of the Classical Soft Graviton Theorem in D>4
• Loop-Level Double-Copy for Massive Quantum Particles
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• Alternative formulations of the twistor double copy
• Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
• Classical double copy from Color Kinematics duality: A proof in the soft limit
• The double copy of the multipole expansion
• Why is the Weyl double copy local in position space?
• Non-perturbative aspects of the self-dual double copy
• Radiation of scalar modes and the classical double copy
• Light-ray operators, detectors and gravitational event shapes
• Geodesics From Classical Double Copy
• Shift symmetries, soft limits, and the double copy beyond leading order
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• The single copy of the gravitational holonomy
• More on the Classical Double Copy in Three Spacetime Dimensions
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Spinor-helicity and the algebraic classification of higher-dimensional spacetimes
• Classical Gravitational Self-Energy from Double Copy
• Spin Dependent Gravitational Tail Memory in $D=4$
• Classical off-shell currents
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Extracting Einstein from the Loop-Level Double-Copy
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Classical double copy and higher-spin fields
• Note on the asymptotic structure of Kerr-Schild form
• New Asymptotic Conservation laws for Electromagnetism
• A scattering amplitudes approach to hard thermal loops
• Aspects of High Energy Scattering
• Loop-level double-copy for massive fermions in the fundamental
• Waveforms from Amplitudes
• Proof of the Classical Soft Graviton Theorem in D=4
• The Weyl double copy from twistor space
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• On kinetic theories with color and spin from amplitudes
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Massive Covariant Colour-Kinematics in 3D
• Yang-Mills observables: from KMOC to eikonal through EFT
• Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
• The Kerr-Schild Double Copy in Lifshitz Spacetime