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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

In this review we describe a non-trivial relationship between perturbative gauge theory and gravity scattering amplitudes. At the semi-classical or tree level, the scattering amplitudes of gravity theories in flat space can be expressed as…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Zvi Bern

In loop quantum gravity the discrete nature of quantum geometry acts as a natural regulator for matter theories. Studies of quantum field theory in quantum space-times in spherical symmetry in the canonical approach have shown that the main…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Rodolfo Gambini , Jorge Pullin

We look for a classical double copy structure between gravity and electrodynamics by connecting the descriptions of the scattering of two point masses, and of two point charges, in terms of perturbative (post-Minkowskian or post-Lorentzian)…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Anna Ceresole , Thibault Damour , Alessandro Nagar , Piero Rettegno

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 $n$-point amplitudes of gauge and gravity theory are given as a series in the coupling. The recursive derivative expansion is used to find all of the coupling coefficients. Initial conditions to any bare Lagrangian, or of an improved…

General Physics · Physics 2007-05-23 Gordon Chalmers

We consider $D$-dimensional amplitudes in $R^2$ gravities (conformal gravity in $D=4$) and in the recently introduced $(DF)^2$ gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related…

High Energy Physics - Theory · Physics 2017-11-21 Thales Azevedo , Oluf Tang Engelund

Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of…

High Energy Physics - Theory · Physics 2022-10-04 David A. Kosower , Ricardo Monteiro , Donal O'Connell

A general covariant quantization of superparticle, Green-Schwarz superstring and a supermembrane with manifest supersymmetry and duality symmetry is proposed. This quantization provides a natural quantum mechanical description of curved…

High Energy Physics - Theory · Physics 2016-08-24 Renata Kallosh

We analyze the spectrum of the exactly duality and gauge invariant higher-derivative double field theory. While this theory is based on a chiral CFT and does not correspond to a standard string theory, our analysis illuminates a number of…

High Energy Physics - Theory · Physics 2016-09-20 Olaf Hohm , Usman Naseer , Barton Zwiebach

Electric-magnetic duality, the Newman-Janis shift, and the double copy all act by elementary operations on three-point amplitudes. At the same time, they generate a network of interesting classical solutions spanning from the Coulomb charge…

High Energy Physics - Theory · Physics 2020-10-20 William T. Emond , Yu-tin Huang , Uri Kol , Nathan Moynihan , Donal O'Connell

A realization of gravitational amplitudes based in the large $N$ limit of a certain 2d $SU(N)$ Kac-Moody theory has been recently proposed. We relate this proposal to Color Kinematics (CK) duality and present an extension to EFT amplitudes…

High Energy Physics - Theory · Physics 2024-12-30 Alfredo Guevara

The construction of dual theories for linearized gravity in four dimensions is considered. Our approach is based on the parent Lagrangian method previously developed for the massive spin-two case, but now considered for the zero mass case.…

High Energy Physics - Theory · Physics 2009-11-10 H. Casini , R. Montemayor , Luis F. Urrutia

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…

High Energy Physics - Theory · Physics 2022-06-22 Mariana Carrillo González , Qiuyue Liang , Mark Trodden

Color-ordered amplitudes in gauge theories satisfy non-linear identities involving amplitude products of different helicity configurations. We consider the origin of such identities and connect them to the Kawai-Lewellen-Tye (KLT) relations…

High Energy Physics - Theory · Physics 2011-01-20 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Bo Feng , Thomas Sondergaard

We introduce a technique for restoring general coordinate invariance into theories where it is explicitly broken. This is the analog for gravity of the Callan-Coleman-Wess-Zumino formalism for gauge theories. We use this to elucidate the…

High Energy Physics - Theory · Physics 2015-06-26 Nima Arkani-Hamed , Howard Georgi , Matthew D. Schwartz

We reconsider the long-range effects of the scattering of massless scalars and photons from a massive scalar object in quantum gravity. At the one-loop level, the relevant quantum mechanical corrections could be sorted into the graviton…

High Energy Physics - Theory · Physics 2017-04-05 Dong Bai , Yue Huang

We study the scattering amplitudes of massive Kaluza-Klein (KK) states under toroidal compactification. We present a shifting method to quantitatively derive the scattering amplitudes of massive KK gauge bosons and KK gravitons from the…

High Energy Physics - Theory · Physics 2023-04-04 Yao Li , Yan-Feng Hang , Hong-Jian He

Recently, a double-copy formalism was used to calculate gravitational radiation from classical Yang-Mills radiation solutions. This work shows that Yang-Mills theory coupled to a biadjoint scalar field admits a radiative double copy that…

High Energy Physics - Theory · Physics 2018-04-25 David Chester

We present in detail a four-dimensional unified quantum theory. In this theory, we identify three class of parameters, coordinate-momentum, spin and gauge, as all and as the only fundamental parameters to describe quantum fields. The…

General Physics · Physics 2009-11-23 Chang-Yu Zhu , Heng Fan