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Given a solution to 4D Einstein gravity with an isometry direction, it is known that the equations of motion are identical to those of a 3D $\sigma$-model with target space geometry $SU(1,1)/U(1)$. Thus, any transformation by $SU(1, 1)…

High Energy Physics - Theory · Physics 2021-01-04 A. Banerjee , E. Ó Colgáin , J. A. Rosabal , H. Yavartanoo

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 $F^3$…

High Energy Physics - Theory · Physics 2023-10-10 John Joseph M. Carrasco , Matthew Lewandowski , Nicolas H. Pavao

We construct the double copy of the chiral higher-spin theory. It is a Lorentz invariant theory with the little group spectrum given by the tensor square of the chiral higher-spin theory spectrum. Moreover, its interactions factorise in…

High Energy Physics - Theory · Physics 2025-02-07 Dmitry Ponomarev

We discuss the renormalization group in the context of gravitational theories with independent metric and affine connection. Considering a class of theories with both propagating torsion and nonmetricity, we perform an explicit computation…

High Energy Physics - Theory · Physics 2024-06-21 Oleg Melichev

Perturbative quantization of Yang-Mills theory with a gauge algebra given by the classical double of a semisimple Lie algebra is considered. The classical double of a real Lie algebra is a nonsemisimple real Lie algebra that admits a…

High Energy Physics - Theory · Physics 2022-01-24 F. Ruiz Ruiz

We establish the status of the Weyl double copy relation for radiative solutions of the vacuum Einstein equations. We show that all type N vacuum solutions, which describe the radiation region of isolated gravitational systems with…

High Energy Physics - Theory · Physics 2025-12-16 Hadi Godazgar , Mahdi Godazgar , Ricardo Monteiro , David Peinador Veiga , C. N. Pope

Biconformal gravity, based on gauging of the conformal group to 2n dimensions, reproduces n-dim scale-covariant general relativity on the co-tangent bundle in any dimension. We generalize this result to include Yang-Mills matter sources…

High Energy Physics - Theory · Physics 2021-04-13 Davis W. Muhwezi , James T. Wheeler

We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable…

High Energy Physics - Theory · Physics 2015-01-14 T. R. S. Santos , R. F. Sobreiro

Several exact, cylindrically symmetric solutions to Einstein's vacuum equations are given. These solutions were found using the connection between Yang-Mills theory and general relativity. Taking known solutions of the Yang-Mills equations…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Douglas Singleton

It is shown that the $SU(2)$ Yang-Mills theory in $3$-dimensional Riemann-Cartan space-time can be completely reformulated as a gravity-like theory in terms of gauge invariant variables. The resulting Yang-Mills induced equations are found,…

High Energy Physics - Theory · Physics 2016-08-16 V. Radovanović , Dj. Šijački

Graviational radiation is described by canonical Yang-Mills wave equations on the curved space-time manifold, together with evolution equations for the metric in the tangent bundle. The initial data problem is described in Yang-Mills scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Maurice H. P. M. van Putten , Douglas M. Eardley

We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is…

High Energy Physics - Theory · Physics 2018-06-20 John F. Donoghue , Gabriel Menezes

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

High Energy Physics - Theory · Physics 2022-07-22 Nihat Sadik Deger , Henning Samtleben

We introduce a gauge and diffeomorphism invariant theory on the Yang-Mills phase space. The theory is well defined for an arbitrary gauge group with an invariant bilinear form, it contains only first class constraints, and the spacetime…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Subenoy Chakraborty , Peter Peldan

The classical Yang--Mills equations are analyzed within the geometrical framework of an effective gravity theory. Exact analytical solutions are derived for the cylindrically symmetric configurations of the coupled gauge and isoscalar…

High Energy Physics - Theory · Physics 2007-05-23 Yuri N. Obukhov

Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories to those in gauge theories---a correspondence dubbed the…

High Energy Physics - Theory · Physics 2021-02-03 Gilly Elor , Kara Farnsworth , Michael L. Graesser , Gabriel Herczeg

We present a first-principles, non-perturbative worldline instanton analysis of vacuum decay in the non-abelian Yang-Mills root of a Schwarzschild background. We recover the gauge theory color-thermal spectrum as a topological winding mode.…

High Energy Physics - Theory · Physics 2026-01-27 John Joseph M. Carrasco , Yaxi Chen , Nicolas H. Pavao , Aslan Seifi

We investigate the generation of a gluon screening mass in Yang-Mills theory in the Landau gauge. We propose a gauge-fixing procedure where the Gribov ambiguity is overcome by summing over all Gribov copies with some weight function. This…

High Energy Physics - Theory · Physics 2021-02-17 Camille Noûs , Urko Reinosa , Julien Serreau , Rodrigo Carmo Terin , Matthieu Tissier

We present a novel double-copy prescription for gauge fields at the Lagrangian level and apply it to the original double copy, couplings to matter and the soft theorem. The Yang-Mills Lagrangian in light-cone gauge is mapped directly to the…

High Energy Physics - Theory · Physics 2022-03-18 M. Beneke , P. Hager , A. F. Sanfilippo

We construct the gauge-invariant electric and magnetic charges in Yang-Mills theory coupled to cosmological General Relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser. For…

High Energy Physics - Theory · Physics 2021-07-29 Emel Altas , Ercan Kilicarslan , Bayram Tekin