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We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy matter particles in Yang-Mills and in gravity to…

高能物理 - 理论 · 物理学 2021-07-28 Andreas Brandhuber , Gang Chen , Gabriele Travaglini , Congkao Wen

Advances in our understanding of perturbation theory suggest the existence of a correspondence between classical general relativity and Yang-Mills theory. A concrete example of this correspondence, which is known as the double copy, was…

高能物理 - 理论 · 物理学 2016-06-29 Andres Luna , Ricardo Monteiro , Isobel Nicholson , Donal O'Connell , Chris D. White

We compute the classical effective action of color charges moving along worldlines by integrating out the Yang-Mills gauge field to next-to-leading order in the coupling. An adapted version of the Bern-Carrasco-Johansson (BCJ) double-copy…

高能物理 - 理论 · 物理学 2019-01-17 Jan Plefka , Jan Steinhoff , Wadim Wormsbecher

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…

高能物理 - 理论 · 物理学 2022-11-30 Leron Borsten , Hyungrok Kim , Branislav Jurčo , Tommaso Macrelli , Christian Saemann , Martin Wolf

The recently developed worldline quantum field theory (WQFT) formalism for the classical gravitational scattering of massive bodies is extended to massive, charged point particles coupling to bi-adjoint scalar field theory, Yang-Mills…

高能物理 - 理论 · 物理学 2022-01-19 Canxin Shi , Jan Plefka

The classical Yang-Mills equations are solved perturbatively in covariant gauge for a collision of two ultrarelativistic nuclei. The nuclei are taken as ensembles of classical color charges on eikonal trajectories. The classical gluon field…

高能物理 - 唯象学 · 物理学 2008-11-26 Yuri V. Kovchegov , Dirk H. Rischke

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…

高能物理 - 理论 · 物理学 2013-07-18 Rutger H. Boels , Reinke Sven Isermann , Ricardo Monteiro , Donal O'Connell

Through their respective sigma models, a bosonic string and a superstring can be coupled to (super)gravity fields. These are subsequently forced to satisfy their right classical equation of motions, as a consequence of quantization of the…

高能物理 - 理论 · 物理学 2023-04-26 Eugenia Boffo

Based on the most general principles of reality, gauge and reparametrization invariance, a problem of constructing the action describing dynamics of a classical color-charged particle interacting with background non-Abelian gauge and…

高能物理 - 理论 · 物理学 2014-11-20 Yuri A. Markov , Margaret A. Markova , Alexey A. Shishmarev

The double copy relates scattering amplitudes and classical solutions in non-abelian gauge theories and gravity. As such, it is usually expressed in the conventional second-order formalisms in both theories corresponding to standard…

高能物理 - 理论 · 物理学 2025-09-29 Nathan Moynihan , Michael L. Reichenberg Ashby , Chris D. White

We formulate a version of the double copy for classical fields in curved spacetimes. We provide a correspondence between perturbative solutions to the bi-adjoint scalar equations and those of the Yang-Mills equations in position space. At…

高能物理 - 理论 · 物理学 2024-05-20 Siddharth G. Prabhu

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 $F^3$…

高能物理 - 理论 · 物理学 2023-10-10 John Joseph M. Carrasco , Matthew Lewandowski , Nicolas H. Pavao

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…

高能物理 - 理论 · 物理学 2021-11-18 Clifford Cheung , James Mangan

We investigate the interaction of strong color fields in the glasma stage of high-energy nuclear collisions with the spins of quarks and antiquarks. We employ the perturbative solution of the quantum kinetic theory for the spin transport of…

核理论 · 物理学 2023-04-28 Avdhesh Kumar , Berndt Müller , Di-Lun Yang

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…

高能物理 - 理论 · 物理学 2014-11-20 Zvi Bern , Tristan Dennen , Yu-tin Huang , Michael Kiermaier

We provide evidence in favor of the conjectured duality between color and kinematics for the case of nonsupersymmetric pure Yang-Mills amplitudes by constructing a form of the one-loop four-point amplitude of this theory that makes the…

高能物理 - 理论 · 物理学 2015-09-09 Zvi Bern , Scott Davies , Tristan Dennen , Yu-tin Huang , Josh Nohle

In a previous paper we introduced two linear spinor equations equivalent to the Lorentz Force and stated that these equations were fairly general and could be applied to any force field compatible with Special Relativity. In this paper, via…

高能物理 - 理论 · 物理学 2011-10-06 J. Buitrago , S. Hajjawi

We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in…

高能物理 - 理论 · 物理学 2018-01-23 Dmitry Ponomarev

We show that the double copy of gauge theory amplitudes to $\mathcal{N}=0$ supergravity amplitudes extends from tree level to loop level. We first explain that color-kinematic duality is a condition for the Becchi-Rouet-Stora-Tyutin…

高能物理 - 理论 · 物理学 2021-05-14 Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf

We demonstrate that a recently proposed classical double copy procedure to construct the effective action of two massive particles in dilaton-gravity from the analogous problem of two color charged particles in Yang-Mills gauge theory fails…

高能物理 - 理论 · 物理学 2019-10-16 Jan Plefka , Canxin Shi , Jan Steinhoff , Tianheng Wang