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Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with the duality between color and kinematics manifest have been constructed in previous work. Here, we extend the discussion to fermions and scalars circulating in the loop…

高能物理 - 理论 · 物理学 2015-11-04 Josh Nohle

The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear sigma-Model (SCM), this dual equivalence being proven by explicit canonical transformation in…

高能物理 - 理论 · 物理学 2009-10-02 Thomas Curtright , Tsuneo Uematsu , Cosmas Zachos

The Kerr-Schild double copy relates exact solutions of gauge and gravity theories. In all previous examples, the gravity solution is associated with an abelian-like gauge theory object, which linearises the Yang-Mills equations. This…

高能物理 - 理论 · 物理学 2020-08-26 Luigi Alfonsi , Chris D. White , Sam Wikeley

Three scalar effective field theories have special properties in terms of non-linear symmetries, soft limits and on-shell constructability that arise from their Goldstone nature: the non-linear $\sigma$-model, multi-DBI theory and the…

高能物理 - 理论 · 物理学 2022-10-26 Dijs de Neeling , Diederik Roest , Sam Veldmeijer

We propose a class of two-field cosmological models derived from gravity coupled to non-linear sigma models whose target space is a non-compact and geometrically-finite hyperbolic surface, which provide a wide generalization of so-called…

高能物理 - 理论 · 物理学 2019-04-04 Elena Mirela Babalic , Calin Iuliu Lazaroiu

We explore extensions of the double copy to massive theories and find a new cubic theory with a local double copy. We consider the nonlinear sigma model and the special galileon theory, massless versions of which are known to be related…

高能物理 - 理论 · 物理学 2022-06-22 Mariana Carrillo González , Qiuyue Liang , Mark Trodden

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

A novel algorithm is provided to couple a Galilean invariant model with curved spatial background by taking nonrelativistic limit of a unique minimally coupled relativistic theory, which ensures Galilean symmetry in the flat limit and…

高能物理 - 理论 · 物理学 2017-07-12 Rabin Banerjee , Sunandan Gangopadhyay , Pradip Mukherjee

We give a geometric interpretation of color-kinematics duality between tree-level scattering amplitudes of gauge and gravity theories. Using their representation as intersection numbers we show how to obtain Bern-Carrasco-Johansson…

高能物理 - 理论 · 物理学 2020-04-10 Sebastian Mizera

We present the first example of an interacting Carroll supersymmetric field theory with both temporal and spatial derivatives, belonging to the Galileon class, where the non-linear field equation remains second-order in derivative. To…

高能物理 - 理论 · 物理学 2025-04-21 Utku Zorba , Ilayda Bulunur , Oguzhan Kasikci , Mehmet Ozkan , Yi Pang , Mustafa Salih Zog

We derive the nonlinear sigma model as a peculiar dimensional reduction of Yang-Mills theory. In this framework, pions are reformulated as higher-dimensional gluons arranged in a kinematic configuration that only probes cubic interactions.…

高能物理 - 理论 · 物理学 2018-05-07 Clifford Cheung , Grant N. Remmen , Chia-Hsien Shen , Congkao Wen

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

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

Here we discuss color-kinematics duality for higher-derivative QCD-like amplitudes. We explicitly show that the duality still holds in this case and it can be instrumental in constructing the associated quadratic-gravity amplitudes by using…

高能物理 - 理论 · 物理学 2022-03-30 Gabriel Menezes

We examine the color-kinematics duality within the BV formalism, highlighting its emergence as a feature of specific gauge-fixed actions. Our goal is to establish a general framework for studying the duality while investigating…

高能物理 - 理论 · 物理学 2024-12-09 Maor Ben-Shahar , Francesco Bonechi , Maxim Zabzine

We show that every Galileon theory admits a dual formulation as a Galileon theory with new operator coefficients. In n dimensions a free scalar field in Minkowski spacetime is dual to a (n+1)-th order Galileon theory which exhibits the…

高能物理 - 理论 · 物理学 2014-05-07 Claudia de Rham , Matteo Fasiello , Andrew J. Tolley

Field theories with kinematic Lie algebras, such as field theories featuring colour-kinematics duality, possess an underlying algebraic structure known as BV${}^{\color{gray} \blacksquare}$-algebra. If, additionally, matter fields are…

高能物理 - 理论 · 物理学 2025-03-25 Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf

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…

高能物理 - 理论 · 物理学 2020-04-22 Rashid Alawadhi , David S. Berman , Bill Spence , David Peinador Veiga

It is now known (or in some cases just believed) that many quantum field theories exhibit dualities, equivalences with the same or a different theory in which things appear very different, but the overall physical implications are the same.…

高能物理 - 理论 · 物理学 2013-02-28 Jonathan Rosenberg

In this paper, we present and classify the supersymmetric extensions of extended kinematical algebras, at the basis of non-Lorentzian physics theories. The diverse kinematical superalgebras are here derived by applying non- and…

高能物理 - 理论 · 物理学 2025-03-11 Patrick Concha , Lucrezia Ravera