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We formulate the canonical structure of Yang--Mills theory in terms of Poisson brackets of gauge invariant observables analogous to Wilson loops. This algebra is non--trivial and tractable in a light--cone formulation. For U(N) gauge…

High Energy Physics - Theory · Physics 2015-06-26 S. G. Rajeev , O. T. Turgut

In this paper, we prove a convergence theorem for sequences of Einstein Yang-Mills systems on $U(1) $-bundles over closed $n$-manifolds with some bounds for volumes, diameters, $L^{2}$-norms of bundle curvatures and $L^{\frac{n}{2}}$-norms…

Differential Geometry · Mathematics 2012-01-04 Hongliang Shao

We extend the geometrical ideas of the spacetime deformations to study the physical foundation of the post-Riemannian geometry. To this aim, we construct the theory of 'two-step spacetime deformation' as a guiding principle. We address the…

General Relativity and Quantum Cosmology · Physics 2011-04-05 G Ter-Kazarian

In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the…

High Energy Physics - Theory · Physics 2008-11-26 Ludvig D. Faddeev , Antti J. Niemi

We study the deformation theory of the Einstein-Yang-Mills system on a principal bundle with a compact structure group over a compact manifold. We first construct, as an application of the general slice theorem of Diez and Rudolph, a smooth…

Differential Geometry · Mathematics 2025-07-18 Severin Bunk , Vicente Muñoz , C. S. Shahbazi

In this letter we consider higher-dimensional Yang-Mills theories and examine their consistent coset space dimensional reduction. Utilizing a suitable ansatz and imposing a simple set of constraints we determine the four-dimensional gauge…

High Energy Physics - Theory · Physics 2008-11-26 Athanasios Chatzistavrakidis , Pantelis Manousselis , Nikolaos Prezas , George Zoupanos

In this paper we construct new solutions of the Kahler-Yang-Mills equations, by applying dimensional reduction methods to the product of the complex projective line with a compact Riemann surface. The resulting equations, that we call…

Differential Geometry · Mathematics 2016-06-27 Luis Álvarez-Cónsul , Mario Garcia-Fernandez , Oscar García-Prada

Continuous dual symmetry in electrodynamics, Yang-Mills theory and gravitation is investigated. Dual invariant which leads to badly nonlinear motion equations is chosen as a Lagrangian of the pure classical dual nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2007-05-23 A. L. Koshkarov

We classify four-dimensional connected simply-connected indecomposable Lorentzian symmetric spaces $M$ with connected nontrivial isotropy group furnishing solutions of the Einstein-Yang-Mills equations. Those solutions with respect to some…

Differential Geometry · Mathematics 2025-02-04 Marco Castrillón López , Pedro M. Gadea , Eugenia Rosado Maria

This doctoral work deals with the analysis of some Yang-Mills solutions on 4-dimensional de Sitter space d$S_4$. The conformal equivalence of this space with a finite Lorentzian cylinder over the 3-sphere and also with parts of Minkowski…

High Energy Physics - Theory · Physics 2022-08-12 Kaushlendra Kumar

We formulate and explore the physical implications of a new translation gauge theory of gravity in flat space-time with a new Yang-Mills action, which involves quadratic gauge curvature and fermions. The theory shows that the presence of an…

General Relativity and Quantum Cosmology · Physics 2018-03-09 Jong-Ping Hsu

We discuss the relation between spacetime diffeomorphisms and gauge transformations in theories of the Yang-Mills type coupled with Einstein's General Relativity. We show that local symmetries of the Hamiltonian and Lagrangian formalisms of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. M. Pons , D. C. Salisbury , L. C. Shepley

We construct two distinct classes of exact type III solutions of the D=4 Einstein-Yang-Mills system. The solutions are embeddings of the non-abelian plane waves in spacetimes in Kundt's class. Reduction of the solutions to type N leads to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Fuster , J. W. van Holten

In this paper using the Clifford bundle formalism a Lagrangian theory of the Yang-Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski spacetime is presented. It is shown how two simple…

Mathematical Physics · Physics 2009-06-23 Eduardo A. Notte-Cuello , Waldyr A. Rodrigues

The conformal field equations are used to discuss the local existence of spherically symmetric solutions to the Einstein-Yang-Mills system which behave asymptotically like the anti-de Sitter spacetime. By using a gauge based on conformally…

General Relativity and Quantum Cosmology · Physics 2015-06-19 C. Lübbe , J. A. Valiente Kroon

A recent progress in obtaining non-spherical and non-static solitons in the four-dimensional Einstein--Yang--Mills (EYM) theory is discussed, and a non-perturbative formulation of the stationary axisymmetric problem is attempted. First a 2D…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. V. Gal'tsov

As it is well known, the global structure of the Einstein equations for general relativity in the context of the initial value problem, is a difficult and intricate mathematical problem. Therefore, any additional structure in their…

Analysis of PDEs · Mathematics 2022-09-16 Nishanth Gudapati

The black hole physics techniques and results are applied to find the set of the exact solutions of the SU(3)-Yang-Mills equations in Minkowski spacetime in the Lorentz gauge. All the solutions contain only the Coulomb-like or linear in $r$…

High Energy Physics - Phenomenology · Physics 2016-12-21 Yu. P. Goncharov

We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-$\sigma$ model (EYMD-$\sigma$) on a static spacetime, showing that the Einstein equations are satisfied if and only if the associated (conformally scaled) three-metric is…

High Energy Physics - Theory · Physics 2008-11-26 H. W. Braden , V. Varela

We analyse the kinematics of cosmological spacetimes with nonzero torsion, in the framework of the classical Einstein-Cartan gravity. After a brief introduction to the basic features of spaces with non-vanishing torsion, we consider a…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Klaountia Pasmatsiou , Christos G. Tsagas , John D. Barrow