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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

In this letter, we present a formal solution to the non-linear field equations of ten-dimensional super Yang--Mills theory. It is assembled from products of linearized superfields which have been introduced as multiparticle superfields in…

High Energy Physics - Theory · Physics 2015-09-22 Carlos R. Mafra , Oliver Schlotterer

A special case of the Lagrange-Poincar\'e equations for the gauge field interacting with a scalar field is obtained. For description of the dynamics on the configuration space, the adapted coordinates are used. After neglecting the group…

Mathematical Physics · Physics 2019-01-01 S. N. Storchak

We study deformations of ${\cal N}=4$ supersymmetric Yang-Mills theory with couplings and masses depending on space-time. The conditions to preserve part of the supersymmetry are derived and a lot of solutions of these conditions are found.…

High Energy Physics - Theory · Physics 2018-02-02 Jaewang Choi , Jose J. Fernandez-Melgarejo , Shigeki Sugimoto

We present new spherically symmetric solutions of an SU(2) Einstein-Yang-Mills model coupled to a doublet of scalar fields. Sequences of asymptotically flat, Yang-Mills-boson star-type configurations are constructed numerically by…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Betti Hartmann , Eugen Radu

If two dimensions of six-dimensional space-time are compactified, a topological configuration of Yang-Mills gauge field appears as a cosmic string in four dimensions, whose thickness is of the same order as the size of the compact space. We…

High Energy Physics - Theory · Physics 2019-09-30 Kiyoshi Shiraishi , Atsushi Nakamula

We study both analytically and numerically a coupled system of spherically symmetric SU(2) Yang-Mills-dilaton equation in 3+1 Minkowski space-time. It has been found that the system admits a hidden scale invariance which becomes transparent…

High Energy Physics - Theory · Physics 2009-11-10 E. E. Donets , O. I. Streltsova , T. L. Boyadjiev

We prove the instability of the gravitating regular sphaleron solutions of the $SU(2)$ Einstein-Yang-Mills-Higgs system with a Higgs doublet, by studying the frequency spectrum of a class of radial perturbations. With the help of a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. Boschung , O. Brodbeck , F. Moser , N. Straumann , M. Volkov

By superposition of regular gauge instantons or merons, ensembles of gauge fields are constructed which describe the confining phase of SU(2) Yang-Mills theory. Various properties of the Wilson loops, the gluon condensate and the…

High Energy Physics - Phenomenology · Physics 2010-02-16 F. Lenz

We present a novel family of Yang-Mills solutions, with gauge group SO(1,3), on Minkowski space that are geometrically distinguished into two classes, viz. interior and exterior of the lightcone. We achieve this by foliating the former with…

High Energy Physics - Theory · Physics 2022-12-05 Kaushlendra Kumar

This is a short review of classical solutions with gravitating Yang-Mills fields in $D>4$ spacetime dimensions. The simplest SO(4) symmetric particlelike and SO(3) symmetric vortex type solutions in the Einstein-Yang-Mills theory in D=5 are…

High Energy Physics - Theory · Physics 2007-05-23 Mikhail S. Volkov

Multi-instanton solutions in the eight and seven dimensional Yang-Mills fields theory is obtained. Extended-soliton solutions to the low-energy heterotic-field-theory equations of motion is constructed from this higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 E. K. Loginov

We derive the $N=2$ and $4$ super Yang-Mills theories from the viewpoint of the $M_4\times Z_2\times Z_2$ gauge theory. Scalars and pseudoscalars appearing in the theories are regarded as gauge fields along the directions on $Z_2\times Z_2$…

High Energy Physics - Theory · Physics 2010-12-16 Bin Chen , Takesi Saito , Hong-Bo Teng , Kunihiko Uehara , Ke Wu

A four-dimensional ${\rm SU}(4)$ confining Yang-Mills field, coupled to a fundamental fermion field and a bi-fundamental scalar field, has excitations with spin-2, but no other quantum numbers. These spin-2 excitations can be light or can…

High Energy Physics - Theory · Physics 2021-01-08 Peter Orland

In this paper we consider an $SU(2)$ Yang-Mills field propagating in the $4+1$ dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduces to a one dimensional non linear wave equation. This…

Analysis of PDEs · Mathematics 2025-11-20 Michał Kowalczyk , Javier Monreal

We examine an extension of the ideas of quantum cosmology and, in particular, the proposal of Hartle and Hawking for the boundary conditions of the Universe, to models which incorporate Yang-Mills fields. Inhomogeneous perturbations about a…

High Energy Physics - Theory · Physics 2010-11-01 D. Kapetanakis , G. Koutsoumbas , A. Lukas , P. Mayr

In this note we discuss a couple of technical issues relevant to solving the Dyson-Schwinger equation for the gluon propagator in Landau gauge Yang-Mills theory. In the deep infrared functional methods extract a one-parameter family of…

High Energy Physics - Phenomenology · Physics 2015-05-20 Christian S. Fischer , Lorenz von Smekal

We consider the emergence of large-scale cosmological expansion in scalar-tensor theories of gravity. This is achieved by modelling sub-horizon regions of space-time as weak-field expansions around Minkowski space, and then subsequently…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Chad Briddon , Timothy Clifton , Pierre Fleury

We consider Maxwell fields associated with any shear-free null geodesic congruence on Minkowski or Riemannian background space-time. Bounded singular loci of these fields are treated as particle-like formations, possess "self-quantized"…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Vladimir V. Kassandrov , Vladimir N. Trishin

We present arguments for the existence of self-dual Yang-Mills instantons for several spherically symmetric backgrounds with Euclidean signature. The time-independent Yang-Mills field has finite action and a vanishing energy momentum tensor…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Eugen Radu
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