Snowmass White Paper: the Double Copy and its Applications

Adamo, Tim; Carrasco, John Joseph M.; González, Mariana Carrillo; Chiodaroli, Marco; Elvang, Henriette; Johansson, Henrik; O’Connell, Donal; Roiban, Radu; Schlotterer, Oliver

doi:10.48550/arxiv.2204.06547

Cited by 20 publications

(38 citation statements)

References 492 publications

(759 reference statements)

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“…Additionally, while this metric does not approach Minkowski space in the asymptotic limit, it nonetheless has vanishing Riemann curvature at spatial infinity. 15 Analogous to [19], the zeroth and single copy fields for the Kerr-Newman-Taub-NUT solution readily follow from applying the rescalings (V.20) and (V.21), together with rescaling (ẽ, g) → ℓ −2 (ẽ, g), to the gauge fields of the general PD solution (V.13) and (V.14). Precisely, upon rescaling S (1) and f…”

Section: A Kerr-newman-taub-nutmentioning

confidence: 99%

“…This result was anticipated by the Kawai-Lewellen-Tye (KLT) relation demonstrating any closed string amplitude may be cast as a linear sum of factors, each of which is a product of two open string amplitudes, at tree level [4]. The discovery of the double copy resulted in powerful new techniques for computing amplitudes in (super)gravity at tree-level and beyond [3,[5][6][7][8], offering new insights into the fundamental nature of perturbative quantum gravity, and has numerous applications, particularly in gravitational wave physics [9][10][11][12] (see [13][14][15] for comprehensive reviews).…”

Section: Introductionmentioning

confidence: 99%

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Einstein-Maxwell theory and the Weyl double copy

Easson¹,

Manton²,

Svesko³

2022

Preprint

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The Weyl double copy relates vacuum solutions in general relativity to Abelian gauge fields in Minkowski spacetime. In a previous work, we showed how the Weyl double copy can be extended to provide a treatment of external gravitational sources consistent with the classical Kerr-Schild double copy. Using this generalization, here we provide a complete double copy analysis of electrovacuum Petrov type D spacetimes. This includes the first analysis of the charged C-metric, whose single copy interpretation invokes the two-potential formalism of electrodynamics. We also present the first double copy prescription for the Ricci spinor, which for non-accelerating spacetimes, takes a form similar to the original double copy relation for the Weyl spinor.

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Section: A Kerr-newman-taub-nutmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Einstein-Maxwell theory and the Weyl double copy

Easson¹,

Manton²,

Svesko³

2022

Preprint

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“…where the CHY integrand I n depends on the physical theories [2,3,10,11]. Not only do CHY formulae provide a new, universal representation of scattering amplitudes in various theories, but they also offer insights into new relations between them; among others, Kawai-Lewellen-Tye (KLT) relations [12,13] and Bern-Carrasco-Johansson (BCJ) double copy (based on color-kinematics duality) for gauge theories and gravity [14][15][16] become manifest in CHY [1,3], which have been extended to relations among various effective field theories [11,17].…”

Section: Jhep08(2022)240 1 Introductionmentioning

confidence: 99%

One-loop diagrams with quadratic propagators from the worldsheet

Feng

Zhang

et al. 2022

J. High Energ. Phys.

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It is well known that forward limits of tree-level amplitudes (and those trivalent diagrams they consist of) produce one-loop amplitudes and trivalent diagrams with propagators linear in the loop momentum. They naturally arise from one-loop worldsheet formulae, and an important open problem is how to recombine them into usual one-loop diagrams with quadratic propagators. In this paper, we study a new collection of worldsheet functions: generalized one-loop Parke-Taylor factors with tensor numerators, which are conjectured to serve as a basis for one-loop worldsheet functions with this nice property. We present all-multiplicity, closed-form expressions for combinations of one-loop trivalent diagrams with quadratic propagators and tensor numerators to arbitrary rank (including possible tadpole contributions), produced by any pair of Parke-Taylor factors. We also briefly comment on reducing worldsheet functions onto such a basis, and applications to one-loop amplitudes in physical theories.

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“…Although the Weyl double copy [43] is more general, the two procedures give identical results, as they should, when both are applicable. There is a growing literature on the subject providing various examples and generalities (see [69][70][71] for reviews), and we now have a pretty good understanding of its origins and limitations thanks to results from twistor theory [72][73][74].…”

Section: Introductionmentioning

confidence: 99%

Generalized Black Holes in 3D Kerr-Schild Double Copy

Alkaç¹,

Gümüş²,

Olpak³

2022

Preprint

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The double copy of the Coulomb solution in three dimensions is a non-vacuum solution that can be obtained through different matter couplings. It is the static black hole solution of Einstein-Maxwell theory or general relativity minimally coupled to a free scalar field (with one ghost sign in the action in both cases). We consider generalizations of these matter couplings by paying particular attention to the regularity of the static black solution on the gravity side and the corresponding single copy electric field in the gauge theory. We show that i) Einstein-Born-Infeld theory yields a singular double copy, which admits stable orbits for certain choices of parameters, with a regular single copy electric field. ii) Black hole solutions constructed in [arXiv:2104.10172] by coupling to the scalar field exemplify mostly regular double copies with regular single copy electric fields and also admit stable orbits. Additionally, we use these solutions to investigate the connection between horizons on the gravity side and electric fields on the gauge theory side, which was previously observed in four dimensions.

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Snowmass White Paper: the Double Copy and its Applications

Cited by 20 publications

References 492 publications

Einstein-Maxwell theory and the Weyl double copy

Einstein-Maxwell theory and the Weyl double copy

One-loop diagrams with quadratic propagators from the worldsheet

Generalized Black Holes in 3D Kerr-Schild Double Copy

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