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New static regular axially symmetric solutions of SU(2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers $m,n$. It…

High Energy Physics - Theory · Physics 2007-05-23 Ya. M. Shnir

The purpose of this study is to show that the exact solutions to Yang-Mills theory can occur in two-dimensional space-time. We show that the instability of the stationary solutions for the nonabelian gauge field theories questioned by the…

High Energy Physics - Theory · Physics 2018-05-24 Abolfazl Jafari

We consider non-Abelian dyons in Einstein-Yang-Mills-Higgs theory. The dyons are spherically symmetric with unit magnetic charge. For large values of the electric charge the dyons approach limiting solutions, related to the Penney solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Ulrike Neemann

For gauge groups SO$(n{+}1)$, SU$(m{+}1)$ and Sp$(\ell{+}1)$, we construct equivariant Yang-Mills solutions on de Sitter space in $n{+}1$, $2(m{+}1)$ and $4(\ell{+}1)$ spacetime dimensions. The latter is conformally mapped to a finite…

High Energy Physics - Theory · Physics 2018-10-17 Olaf Lechtenfeld , Gönül Ünal

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Fabien Clement , Betti Hartmann

We point out that the statements in [hep-th/9903063] concerning the regularity of static axially symmetric solutions in Yang-Mills-dilaton (YMD) [1] and Einstein-Yang-Mills(-dilaton) (EYMD) theory [2,3] are incorrect, and that the…

High Energy Physics - Theory · Physics 2007-05-23 B. Kleihaus , J. Kunz

A continuum of new monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space are found. They are regular everywhere and specified with their mass, and non-Abelian electric and magnetic charges. A…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jefferson Bjoraker , Yutaka Hosotani

This paper presents new classes of exact radial solutions to the nonlinear ordinary differential equation that arises as a saddle-point condition for a Euclidean scalar field theory in $D$-dimensional spacetime. These solutions are found by…

High Energy Physics - Theory · Physics 2023-12-12 Carl M. Bender , Sarben Sarkar

Given the path of a point particle, one can relate its acceleration and, in general, its kinematics to the curvature scalars of its trajectory. Using this, a general Ansatz is made for the Yang Mills connection corresponding to a…

High Energy Physics - Theory · Physics 2009-11-07 Ozgur Sarioglu

We construct globally regular gravitating solutions, which possess only discrete symmetries. These solutions of Yang-Mills-dilaton theory may be viewed as exact (numerical) solutions of scalar gravity, by considering the dilaton as a kind…

High Energy Physics - Theory · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz , Kari Myklevoll

We present new exact solutions of the Einstein-Yang-Mills system. The solutions are described by a null Yang-Mills field in a Kundt spacetime. They generalize a previously known solution for a metric of $pp$ wave type. The solutions are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Andrea Fuster

Motivated by the recent interest in conformal and duality invariant nonlinear electrodynamics, we study the non-Abelian extension of ModMax electrodynamics. The theory is parameterized by a single dimensionless constant, and it is…

High Energy Physics - Theory · Physics 2026-03-11 Fabrizio Canfora , Cristóbal Corral , Borja Diez , Luis Guajardo , Julio Oliva

We present exact soliton solutions of anti-self-dual Yang-Mills equations for G=GL(N) on noncommutative Euclidean spaces in four-dimension by using the Darboux transformations. Generated solutions are represented by quasideterminants of…

Exactly Solvable and Integrable Systems · Physics 2020-07-24 Claire R. Gilson , Masashi Hamanaka , Shan-Chi Huang , Jonathan J. C. Nimmo

Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge…

High Energy Physics - Theory · Physics 2009-11-07 Chandrashekar Devchand , Jean Nuyts

We propose a new nonabelian Kaluza-Klein dyon solution in the seven-dimensional spacetimes. This is a Wu-Yang-like Kaluza-Klein dyon. The dyonic metric is spherically symmetric, two spherical coordinate systems are used, and the metric…

General Relativity and Quantum Cosmology · Physics 2009-11-03 Lou Hsiang-Lin , Li Pei-Hsuan

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

We argue that the Einstein-Yang-Mills-Higgs theory presents nontrivial solutions with a NUT charge. These solutions approach asymptotically the Taub-NUT spacetime and generalize the known dyon black hole configurations. The main properties…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yves Brihaye , Eugen Radu

We investigated numerically dyon-like solutions of the SU(2) Einstein-Yang-Mills system on a cylindrically symmetric space time with a cosmological constant. We find a new kind of behaviour not found in the spherically symmetric models. For…

Mathematical Physics · Physics 2007-05-23 Reinoud J. Slagter

By employing the higher dimensional version of the Wu-Yang Ansatz we obtain black hole solutions in the spherically symmetric Einstein-Yang-Mills (EYM) theory. Although these solutions were found recently by other means, our method provides…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Habib Mazharimousavi , M. Halilsoy

We consider stationary rotating black holes in SU(2) Einstein-Yang-Mills theory, coupled to a dilaton. The black holes possess non-trivial non-Abelian electric and magnetic fields outside their regular event horizon. While generic solutions…

General Relativity and Quantum Cosmology · Physics 2009-11-10 B. Kleihaus , J. Kunz , F. Navarro-Lerida