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Perturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes $\sim g^2T$, which correspond to the fields of a 3d Yang-Mills theory. We revisit a gauge invariant…

High Energy Physics - Phenomenology · Physics 2015-06-04 D. Bieletzki , K. Lessmeier , O. Philipsen , Y. Schroder

Topological gravity is equivalent to physical gravity in two dimensions in a way that is still mysterious, though by now it has been proved by Kontsevich. In this paper it is shown that a similar relation between topological and physical…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

Just recently, the class of all Einstein-Maxwell fields solving simultaneously also any higher-order modification of the Eintein-Maxwell theory has been completely identified. In the present work, we argue that, in view of our recent…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Martin Kuchynka

The Weyl double copy is a formula relating solutions of scalar, gauge and gravity theories, and is related to the BCJ double copy for scattering amplitudes. The latter relates Yang-Mills theory to ${\cal N}=0$ supergravity, where an axion…

High Energy Physics - Theory · Physics 2023-05-24 Kymani Armstrong-Williams , Chris D. White

We provide the reformulations of Yang-Mills theories in terms of gauge invariant metric-like variables in three and four dimensions. The reformulations are used to analyze the dimension two gluon condensate and give gauge invariant…

High Energy Physics - Theory · Physics 2016-02-01 Zhi-Qiang Guo

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…

High Energy Physics - Theory · Physics 2024-05-20 Siddharth G. Prabhu

We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the $\mathcal{N}=1$ supersymmetric model to a Yang-Mills background to describe the propagation of a…

High Energy Physics - Theory · Physics 2023-04-11 Francesco Comberiati , Canxin Shi

In recent years it has been shown that many, and possibly all, integrable systems can be obtained by dimensional reduction of self-dual Yang-Mills. I show how the integrable systems obtained this way naturally inherit bihamiltonian…

High Energy Physics - Theory · Physics 2016-09-06 Jeremy Schiff

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 Yang-Mills theory associated with the restricted Lorentz group is revisited as a candidate for a theory of gravity. This is a natural idea because the principle of equivalence of gravitation and inertia suggests to introduce locally…

General Relativity and Quantum Cosmology · Physics 2020-06-01 Hans Christian Öttinger

We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction…

High Energy Physics - Theory · Physics 2020-10-28 Tim Adamo , Anton Ilderton

We refine the dictionary of the gauge/gravity correspondence realizing N=1 super Yang-Mills by means of D5-branes wrapped on a resolved Calabi-Yau space. This is done by fixing an ambiguity on the correct interpretation of the holographic…

High Energy Physics - Theory · Physics 2009-11-07 M. Bertolini , P. Merlatti

We propose that chiral two-dimensional Yang-Mills theory on a Riemann surface is dual to a deformed stationary subsector of the Gromov-Witten theory of that Riemann surface. Firstly, we argue that the algebraic structure that underlies the…

High Energy Physics - Theory · Physics 2025-02-06 Lior Benizri , Jan Troost

In a previous paper we observed that (classical) tree-level gauge theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gauge-theory…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , John Joseph M. Carrasco , Henrik Johansson

We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras. We define new noncommutative scalar field theories with rigid colour…

High Energy Physics - Theory · Physics 2023-08-02 Richard J. Szabo , Guillaume Trojani

Gravitational self-interactions are assumed to be determined by the covariant derivative acting on the Riemann-Christoffel field strength. Once imposed on a metric theory, this Yang-Mills gauge constraint extends the equality of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jean-Marc Gerard

Recently, an intriguing relationship (the "double copy") has been discovered between theories like electromagnetism, and gravity. This potentially gives us a new way to think about gravity, and there are also practical applications…

Optics · Physics 2021-11-03 Chris D. White

The partition function of four dimensional SO(4) Yang-Mills theory is rewritten in terms of variables admitting straightforward relation to the partition function of pure 4D gravity. The gauge action turns into first-order Hilbert-Palatini…

High Energy Physics - Theory · Physics 2011-06-03 A. G. Shuvaev

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 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…

High Energy Physics - Theory · Physics 2021-07-28 Andreas Brandhuber , Gang Chen , Gabriele Travaglini , Congkao Wen