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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 show that color-kinematics duality is a manifest property of the equations of motion governing currents and field strengths. For the nonlinear sigma model (NLSM), this insight enables an implementation of the double copy at the level of…

High Energy Physics - Theory · Physics 2021-11-18 Clifford Cheung , James Mangan

We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras. We define new noncommutative scalar field theories with rigid colour…

High Energy Physics - Theory · Physics 2023-08-02 Richard J. Szabo , Guillaume Trojani

We find that point particles interacting with a self-dual Yang-Mills field and self-dual gravity manifestly satisfy color-kinematics duality at the level of action. In a similar way color-kinematics duality also holds for a scalar field…

High Energy Physics - Theory · Physics 2024-04-23 Vyacheslav Ivanovskiy , Dmitry Ponomarev

The classical double copy relates solutions to the equations of motion in gauge theory and in gravity. In this paper, we present two double-copy formalisms for relating the Coulomb solution in gauge theory to the two-parameter…

High Energy Physics - Theory · Physics 2020-03-02 Kwangeon Kim , Kanghoon Lee , Ricardo Monteiro , Isobel Nicholson , David Peinador Veiga

Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension…

High Energy Physics - Theory · Physics 2022-11-30 Leron Borsten , Hyungrok Kim , Branislav Jurčo , Tommaso Macrelli , Christian Saemann , Martin Wolf

We show that double field theory arises from the color-kinematic double copy of Yang-Mills theory. A precise double copy prescription for the Yang-Mills action at quadratic and cubic order is provided that yields the double field theory…

High Energy Physics - Theory · Physics 2022-03-02 Felipe Diaz-Jaramillo , Olaf Hohm , Jan Plefka

The relation for the gravity polarisation tensor as the tensor product of two gluon polarisation vectors has been well-known for a long time, but a version of this relation for multi-particle fields is presently still not known. Here we…

The double copy relates scattering amplitudes and classical solutions in Yang-Mills theory, gravity, and related field theories. Previous work has shown that this has an explicit realisation in self-dual YM theory, where the equation of…

High Energy Physics - Theory · Physics 2021-05-05 Erick Chacón , Hugo García-Compeán , Andres Luna , Ricardo Monteiro , Chris D. White

We study the static black hole solutions of generalized two-dimensional dilaton-gravity theories generated by pointlike mass sources, in the hypothesis that the matter is conformally coupled. We also discuss the motion of test particles.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Melis , S. Mignemi

In a previous paper we observed that (classical) tree-level gauge theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gauge-theory…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , John Joseph M. Carrasco , Henrik Johansson

The double copy programme relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of…

High Energy Physics - Theory · Physics 2023-11-08 Roberto Bonezzi , Felipe Diaz-Jaramillo , Silvia Nagy

A Yang-Mills theory linear in the scalar curvature for 2d gravity with symmetry generated by the semidirect product formed with the Lie derivative of the algebra of diffeomorphisms with the two-dimensional Abelian algebra is formulated. As…

High Energy Physics - Theory · Physics 2022-02-02 Sara Abentin , Fernando Ruiz Ruiz

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged to satisfy Jacobi-like identities in…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , Tristan Dennen , Yu-tin Huang , Michael Kiermaier

We provide a concise approach to generalized dilaton theories with and without torsion and coupling to Yang-Mills fields. Transformations on the space of fields are used to trivialize the field equations locally. In this way their solution…

General Relativity and Quantum Cosmology · Physics 2009-10-28 T. Kloesch , T. Strobl

The conjectured duality between color and kinematics has significantly advanced our understanding of both gauge and gravitational theories. However, constructing numerators that manifest the color-kinematics (CK) duality, even for the…

High Energy Physics - Theory · Physics 2024-02-29 Zeyu Li , Gang Yang

We compute the first nontrivial noncommutative correction to the Einstein-Hilbert Lagrangian, which arises from the double copy of noncommutative Yang-Mills theory (ncYM). We start by considering linear and quadratic $\theta$-corrections up…

High Energy Physics - Theory · Physics 2025-02-07 Larisa Jonke , Eric Lescano

We find that the duality between color and kinematics can be used to inform the high energy behavior of effective field theories. Namely, we demonstrate that the massless gauge theory of Yang-Mills deformed by a higher-derivative $F^3$…

High Energy Physics - Theory · Physics 2023-10-10 John Joseph M. Carrasco , Matthew Lewandowski , Nicolas H. Pavao

We study a deSitter/Anti-deSitter/Poincare Yang-Mills theory of gravity in d-space-time dimensions in an attempt to retain the best features of both general relativity and Yang-Mills theory: quadratic curvature, dimensionless coupling and…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Jack Gegenberg , Gabor Kunstatter

We show that the Dyson-Schwinger set of equations for the Yang-Mills theory can be exactly solved till the two-point function. This is obtained given a set of nonlinear waves solving the classical equations of motion. Translation invariance…

Mathematical Physics · Physics 2017-05-29 Marco Frasca