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Double copy for massive quantum particles with spin
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The duality between color and kinematics was originally observed for purely adjoint massless gauge theories, and later found to hold even after introducing massive fermionic and scalar matter in arbitrary gauge-group representations. Such a generalization was critical for obtaining both loop amplitudes in pure Einstein gravity and realistic gravitational matter from the double copy. In this paper we elaborate on the double copy that yields amplitudes in gravitational theories coupled to flavored massive matter with spin, which is relevant to the problems of black-hole scattering and gravitational waves. Our construction benefits from making the little group explicit for the massive particles, as shown on lower-point examples. For concreteness, we focus on the double copy of QCD with massive quarks, for which we work out the gravitational Lagrangian up to quartic scalar and vector-scalar couplings. We find new gauge-invariant double-copy formulae for tree-level amplitudes with two distinct-flavor pairs of matter and any number of gravitons. These are similar to, but inherently different from, the well-known Kawai-Lewellen-Tye formulae, since the latter only hold for the double copy of purely adjoint gauge theories.
Forward citations
Cited by 12 Pith papers
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Black Hole Binary Dynamics from the Double Copy and Effective Theory
The authors derive the complete conservative two-body Hamiltonian for spinless black holes at third post-Minkowskian order using scattering amplitudes and effective field theory.
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The O(G^3) conservative and radiation-reaction classical observables for spinning black-hole scattering are extended to quartic order in spin, with all-order-in-spin radiation reaction beyond the aligned-spin limit.
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Newman-Janis Algorithm from Taub-NUT Instantons
The Kerr metric is shown to be the exact nonlinear superposition of two Taub-NUT instantons of opposite chirality, explaining the Newman-Janis algorithm.
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On the Double Copy for Spinning Matter
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Classical potential for general spinning bodies
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Off-shell double copy theories in BV
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The all-line transverse shift makes four-point electromagnetic and gravitational Compton amplitudes on-shell constructible for massive spin s≤3/2 and s≤5/2, respectively, starting from minimal three-point amplitudes.
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The kinematic Jacobi identities of minimally coupled gravity amplitudes for arbitrary mass and spin are recast as associativity of a 2d color symmetry, with massive states giving a one-parameter deformation and a limi...
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Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several ...
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Compton amplitude and Contact term(s) in the Spinor Helicity formalism
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