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The double copy is a remarkable relationship between gauge theory and gravity that has been explored in a number of contexts, most notably scattering amplitudes and classical solutions. The convolutional double copy provides a…

High Energy Physics - Theory · Physics 2023-11-27 Qiuyue Liang , Silvia Nagy

We extend the double copy picture of scattering amplitudes to a class of matrix elements (so-called form factors) that involve local gauge invariant operators. Both the Bern, Carrasco and Johansson (BCJ) and the Kawai, Lewellen and Tye…

High Energy Physics - Theory · Physics 2022-12-28 Guanda Lin , Gang Yang

We find Abelian gauge fields that double copy to a large class of black hole spacetimes with spherical horizon topology known as the Kerr-NUT-(A)dS family. Using a multi-Kerr-Schild prescription, we extend the previously-known double copy…

High Energy Physics - Theory · Physics 2023-04-13 Samarth Chawla , Cynthia Keeler

Topological gravity is equivalent to physical gravity in two dimensions in a way that is still mysterious, though by now it has been proved by Kontsevich. In this paper it is shown that a similar relation between topological and physical…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

Double copy relates scattering amplitudes in a web of gravitational and gauge theories. Although it has seen great success when applied to amplitudes in vacuum, far less is known about double copy in arbitrary gravitational and gauge…

High Energy Physics - Theory · Physics 2024-11-19 Anton Ilderton , William Lindved

The classical doubly copy provides relations between classical solutions in gravitational theories and solutions in gauge theories. In this paper, we consider the cosmological horizons in the gravity side from the perspective of gauge…

High Energy Physics - Theory · Physics 2023-12-05 Jun-Lang He , Jia-Hui Huang

We study some topological aspects of non-abelian gauge theories intimately connected to the Lie algebras of the gauge groups and the homotopy theory in the generalized gauge orbit space. The physics connection to the non-perturbative…

High Energy Physics - Phenomenology · Physics 2009-10-22 Huazhong Zhang

For non-abelian non-supersymmetric gauge theories, generic dual theories have been constructed. In these theories the couplings appear inverted. However, they do not possess a Yang-Mills structure but rather are a kind of non-linear sigma…

High Energy Physics - Theory · Physics 2016-09-06 H. Garcia-Compean , O. Obregon , J. F. Plebanski , C. Ramirez

We clarify the relation between the classical double copy and the double copy for amplitudes in the setting of selfdual gauge and gravity theories. To this end we construct explicit all-order perturbative solutions in these theories and…

High Energy Physics - Theory · Physics 2025-03-21 Joris Raeymaekers

We study the double-copy relation between classical solutions in gauge theory and gravity, focusing on four-dimensional vacuum metrics of algebraic type D, a class that includes several important solutions. We present a double copy of…

High Energy Physics - Theory · Physics 2019-04-03 Andres Luna , Ricardo Monteiro , Isobel Nicholson , Donal O'Connell

Three of the four fundamental forces in nature are described by so-called gauge theories, which include the effects of both relativity and quantum mechanics. Gravity, on the other hand, is described by General Relativity, and the lack of a…

High Energy Physics - Theory · Physics 2018-05-23 Chris D. White

We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones.…

High Energy Physics - Theory · Physics 2010-12-13 Z. Bern , J. J. M. Carrasco , H. Johansson

Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. We find a double copy relation…

High Energy Physics - Theory · Physics 2015-06-11 Ryo Saotome , Ratindranath Akhoury

Biadjoint scalar field theories appear in the study of scattering amplitudes and classical solutions in gauge, gravity and related theories. In this paper, we present new exact solutions of biadjoint scalar field theory, showing that…

High Energy Physics - Theory · Physics 2025-02-04 Kymani Armstrong-Williams , Chris D. White

In these lectures I talk about simplifications and universalities found in scattering amplitudes for gauge and gravity theories. In contrast to Ward identities, which are understood to arise from familiar symmetries of the classical action,…

High Energy Physics - Theory · Physics 2015-11-10 John Joseph M. Carrasco

The Bern-Carrasco-Johansson (BCJ) double-copy construction reveals a fundamental structural connection between gauge and gravity theories. At its core, the BCJ double copy is directly due to a duality between the algebraic relations of a…

High Energy Physics - Theory · Physics 2026-01-16 John Joseph M. Carrasco , Sai Sasank Chava , Alex Edison , Eliseu Kloster , Suna Zekioğlu

We revisit the double copy description for linearized gravity and point out various technical issues and subtleties, associated with setting up the double copy description, including the problem of matching degrees of freedom on both sides…

High Energy Physics - Theory · Physics 2020-06-04 Gabriel Lopes Cardoso , Gianluca Inverso , Silvia Nagy , Suresh Nampuri

Recently, a double-copy formalism was used to calculate gravitational radiation from classical Yang-Mills radiation solutions. This work shows that Yang-Mills theory coupled to a biadjoint scalar field admits a radiative double copy that…

High Energy Physics - Theory · Physics 2018-04-25 David Chester

We continue the program of using homotopy algebras to obtain off-shell, local and gauge redundant derivations of the double copy relations between gauge theory and gravity. We apply it to $N=1$ super-Yang-Mills theory in $D=10$ in order to…

High Energy Physics - Theory · Physics 2025-08-19 Roberto Bonezzi , Giuseppe Casale , Olaf Hohm

We explore various tree-level double copy constructions for amplitudes including massive particles with spin. By working in general dimensions, we use that particles with spins $s\leq 2$ are fundamental to argue that the corresponding…

High Energy Physics - Theory · Physics 2022-10-05 Yilber Fabian Bautista , Alfredo Guevara