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Conventional Lagrangian formulations of gauge and gravity theories emphasize compactness and off-shell symmetry. This often obscures the structure of on-shell physical observables. In this work, we present a constructive framework that…

High Energy Physics - Phenomenology · Physics 2026-03-20 John Joseph M. Carrasco , Suna Zekioglu

We give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality. Amplitudes are constructed using double copies of pure…

High Energy Physics - Theory · Physics 2015-11-11 Henrik Johansson , Alexander Ochirov

Colour-kinematics duality is the conjecture of a group theory-like structure for the kinematic dependence of scattering amplitudes in gauge theory and gravity. This structure has been verified at tree level in various ways, but similar…

High Energy Physics - Theory · Physics 2013-07-18 Rutger H. Boels , Reinke Sven Isermann , Ricardo Monteiro , Donal O'Connell

We explore the double copy for self-dual gauge and gravitational fields on self-dual background spacetimes. We consider backgrounds associated to solutions of the second Plebanski equation and describe results with different gauge-fixing…

High Energy Physics - Theory · Physics 2023-11-27 Graham R. Brown , Joshua Gowdy , Bill Spence

The double copy connects scattering amplitudes and other objects in gauge and gravity theories. Open conceptual issues include whether non-local information in gravity theories can be generated from the double copy, and how the double copy…

High Energy Physics - Theory · Physics 2025-03-10 William T. Emond , Laura Engelbrecht , Nathan Moynihan , Chris D. White

The double copy formalism provides an intriguing connection between gauge theories and gravity. It was first demonstrated in the perturbative context of scattering amplitudes but recently the formalism has been applied to exact classical…

High Energy Physics - Theory · Physics 2020-04-22 Rashid Alawadhi , David S. Berman , Bill Spence , David Peinador Veiga

The double copy relates gauge and gravitational theories, with widespread application to quantum scattering amplitudes and classical perturbative results. It also connects exact classical solutions of Abelian gauge and gravitational…

High Energy Physics - Theory · Physics 2025-10-02 Brian Kent , Aaron Zimmerman

The double copy relates scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, and a number of approaches have been developed for doing so. One of these involves expressing fields in a variety…

High Energy Physics - Theory · Physics 2020-10-13 Andres Luna , Silvia Nagy , Chris White

Recent work has shown how on-shell three-point amplitudes in gauge theory and gravity, representing the coupling to massive particles, correspond in the classical limit to the curvature spinors of linearised solutions. This connection, made…

High Energy Physics - Theory · Physics 2022-10-25 Ricardo Monteiro , Silvia Nagy , Donal O'Connell , David Peinador Veiga , Matteo Sergola

A two-loop (cylinder) amplitude of the 2d pure gravity theory is obtained in the proper-time gauge ($g_{00}=1$, $g_{01}=g_{10}=0$) in the continuum formulation. The constraint $T_{01}=0$ is solved and used to reduce the problem of field…

High Energy Physics - Theory · Physics 2009-10-22 Ryuichi Nakayama

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

Celestial amplitudes which use conformal primary wavefunctions rather than plane waves as external states offer a novel opportunity to study properties of amplitudes with manifest conformal covariance and give insight into a potential…

High Energy Physics - Theory · Physics 2021-09-01 Eduardo Casali , Andrea Puhm

Feynman diagrams have been superseded as the tool of choice for calculating scattering amplitudes. Various other methods are not only more efficient but also explicitly exhibit beautiful structures obscured by Feynman diagrams. This thesis…

High Energy Physics - Theory · Physics 2018-12-24 Stefan Nekovar

Recently a duality between color and kinematics has been proposed, exposing a new unexpected structure in gauge theory and gravity scattering amplitudes. Here we propose that the relation goes deeper, allowing us to reorganize amplitudes…

High Energy Physics - Theory · Physics 2013-05-29 Zvi Bern , Tristan Dennen

Classical double copy is an intriguing relationship between classical solutions to a gravity theory and solutions to classical Yang-Mills equations. Although formally inspired by the double copy relation between (quantum) scattering…

High Energy Physics - Theory · Physics 2020-02-19 Athira PV , A Manu

We develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the…

High Energy Physics - Theory · Physics 2016-02-03 Olaf Hohm , Diego Marques

The proposed coordinate/field duality [Phys. Rev. Lett. 78 (1997) 163] is applied to the gauge and matter sectors of gauge theories. In the non-Abelian case, due to indices originated from the internal space, the dual coordinates appear to…

General Physics · Physics 2016-01-27 Amir H. Fatollahi

In this chapter, we present a scattering-amplitudes perspective on supergravity, and describe its application to the study of ultraviolet properties of supergravity theories at high loop orders. The basic on-shell tools that make such…

High Energy Physics - Theory · Physics 2023-04-18 Zvi Bern , John Joseph M. Carrasco , Marco Chiodaroli , Henrik Johansson , Radu Roiban

Color-kinematics duality is a remarkable conjectured property of gauge theory which, together with double copy, is at the heart of a wealth of new developments in scattering amplitudes. So far, its validity has been verified in most cases…

High Energy Physics - Theory · Physics 2021-03-09 Eduardo Casali , Sebastian Mizera , Piotr Tourkine

This review describes the duality between color and kinematics and its applications, with the aim of gaining a deeper understanding of the perturbative structure of gauge and gravity theories. We emphasize, in particular, applications to…

High Energy Physics - Theory · Physics 2019-09-05 Zvi Bern , John Joseph Carrasco , Marco Chiodaroli , Henrik Johansson , Radu Roiban