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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…

高能物理 - 理论 · 物理学 2024-04-23 Vyacheslav Ivanovskiy , Dmitry Ponomarev

Over the past year, the "scalar-scaffolding" formalism has revealed a number of new features of gluon amplitudes. In this paper, we leverage these developments to study two distinct but related questions, linked by the scaffolding statement…

高能物理 - 理论 · 物理学 2025-09-23 Jeffrey V. Backus , Carolina Figueiredo

Recently a powerful duality between color and kinematics has been proposed for integrands of scattering amplitudes in quite general gauge theories. In this paper the duality proposal is extended to the more general class of gauge theory…

高能物理 - 理论 · 物理学 2015-06-12 Rutger H. Boels , Bernd A. Kniehl , Oleg V. Tarasov , Gang Yang

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

Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic structures which hint to an underlying kinematic algebra that is dual to the gauge group color algebra. This color-kinematics duality is still poorly understood in…

高能物理 - 理论 · 物理学 2024-01-02 Maor Ben-Shahar , Lucia Garozzo , Henrik Johansson

We show that tree-level form factors with length-two operators in Yang-Mills-scalar (YMS) theory exhibit structures very similar to scattering amplitudes of gluons and scalars, which leads to new relations between them. Just like…

高能物理 - 理论 · 物理学 2023-03-01 Jin Dong , Song He , Guanda Lin

We introduce a decomposition of D-dimensional vector amplitudes in terms of building blocks that preserve all partial amplitude relations of the parent gauge-theory. Using this decomposition, we derive a new set of amplitude relations…

高能物理 - 理论 · 物理学 2023-04-12 Nicolas H. Pavao

Color-factor symmetry is a property of tree-level gauge-theory amplitudes containing at least one gluon. BCJ relations among color-ordered amplitudes follow directly from this symmetry. Color-factor symmetry is also a feature of biadjoint…

高能物理 - 理论 · 物理学 2023-07-05 Stephen G. Naculich

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

Color-kinematics (CK) duality is a remarkable symmetry of gluon amplitudes that is the key to the double copy which links gauge theory and gravity amplitudes. Here we show that the complete Yang-Mills action itself, including its…

高能物理 - 理论 · 物理学 2023-03-23 Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf

In flat space, the color/kinematics duality states that perturbative Yang-Mills amplitudes can be written in such a way that kinematic numerators obey the same Jacobi relations as their color factors. This remarkable duality implies BCJ…

高能物理 - 理论 · 物理学 2021-03-17 Connor Armstrong , Arthur E. Lipstein , Jiajie Mei

We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U of M, based on the geometric and extensor calculus on an…

微分几何 · 数学 2015-06-26 V. V. Fernandez , A. M. Moya , W. A. Rodrigues

To explore color/kinematics duality for general representations of the gauge group we formulate the duality for general abelian orbifolds of the SU(N), N=4 super Yang-Mills theory in four dimensions, which have fields in the bi-fundamental…

高能物理 - 理论 · 物理学 2015-06-17 Marco Chiodaroli , Qingjun Jin , Radu Roiban

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…

高能物理 - 理论 · 物理学 2013-05-29 Zvi Bern , Tristan Dennen

We review the phenomenological and theoretical evidences for dynamical gluon mass generation and the main features of the glueball spectrum in (pure gauge) Yang-Mills theories. The mixing between glueball and conventional $\bar q q$ states…

高能物理 - 唯象学 · 物理学 2011-09-06 Vincent Mathieu

The Lorentz-invariant gluon correlation functions, corresponding to scalar and pseudo-scalar glueballs, are calculated for Kogan's and Kovner's variational ansatz for the pure SU(N) Yang-Mills wavefunctional. One expects that only one…

高能物理 - 唯象学 · 物理学 2009-11-07 B. M. Gripaios

We present a field theoretical proof of the conjectured KLT relation which states that the full tree-level scattering amplitude of gluons can be written as a product of color-ordered amplitude of gluons and color-ordered amplitude of…

高能物理 - 理论 · 物理学 2015-05-28 Yi-Jian Du , Bo Feng , Chih-Hao Fu

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

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the…

高能物理 - 理论 · 物理学 2017-08-23 K. -I. Kondo

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