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Related papers: Monopole-Antimonopole Chains and Vortex Rings

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We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein-Yang-Mills equations for any action of the rotation group (or SU(2)) by automorphisms of a principal bundle over space-time whose structure…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Todd A. Oliynyk , H. P. Kunzle

In this Letter we present new, genuinely non-Abelian vortex solutions in SU(2) Yang-Mills--Higgs theory with only one {\it isovector} scalar field. These non-Abelian solutions branch off their Abelian counterparts (Abrikosov-Nielsen-Olesen…

High Energy Physics - Theory · Physics 2014-11-20 Francisco Navarro-Lerida , D. H. Tchrakian

The existence of nonsingular classical magnetic monopole solutions is usually understood in terms of topologically nontrivial Higgs field configurations. We show that finite energy magnetic monopole solutions also exist within a class of…

High Energy Physics - Theory · Physics 2009-10-28 Kimyeong Lee , Erick J. Weinberg

Self-duality is a very important concept in the study and applications of topological solitons in many areas of Physics. The rich mathematical structures underlying it lead, in many cases, to the development of exact and non-perturbative…

High Energy Physics - Theory · Physics 2021-12-01 L. A. Ferreira , H. Malavazzi

We propose to use the different kinds of vacua of the gauge theories coupled to matter as a laboratory to test confinement ideas of pure Yang-Mills theories. In particular, the very poor overlap of the Wilson loop with the broken string…

High Energy Physics - Lattice · Physics 2009-11-07 F. Gliozzi , A. Rago

We present superconducting vortex solutions in the two-Higgs doublet model which has a gauged $U(1)$ Higgs-family symmetry. We write down an ansatz for the solution and study its basic properties, for the case of both global and gauged…

High Energy Physics - Phenomenology · Physics 2025-07-17 Richard Battye , Steven Cotterill

We study numerical solutions corresponding to spherically symmetric gravitating electroweak monopole and magnetically charged black holes of the Einstein-Weinberg-Salam theory. The gravitating electroweak monopole solutions are quite…

High Energy Physics - Theory · Physics 2021-11-03 Khai-Ming Wong , Dan Zhu , Guo-Quan Wong

Spherically and cylindrically symmetric solutions of SU(3) Yang-Mills theory are found, whose gauge potentials have confining properties. The spherically symmetric solutions give field distributions which have a spherical surface on which…

High Energy Physics - Theory · Physics 2007-05-23 V. Dzhunushaliev , D. Singleton

Two sharp existence and uniqueness theorems are presented for solutions of multiple vortices arising in a six-dimensional brane-world supersymmetric gauge field theory under the general gauge symmetry group $G=U(1)\times SU(N)$ and with $N$…

Analysis of PDEs · Mathematics 2015-06-04 Shouxin Chen , Yisong Yang

The dynamics of n slowly moving fundamental monopoles in the SU(n+1) BPS Yang-Mills-Higgs theory can be approximated by geodesic motion on the 4n-dimensional hyperkahler Lee-Weinberg-Yi manifold. In this paper we apply a variational method…

High Energy Physics - Theory · Physics 2009-10-07 Richard Battye , Gary Gibbons , Paulina Rychenkova , Paul Sutcliffe

We review the properties of BPS, or supersymmetric, magnetic monopoles, with an emphasis on their low-energy dynamics and their classical and quantum bound states. After an overview of magnetic monopoles, we discuss the BPS limit and its…

High Energy Physics - Theory · Physics 2008-11-26 Erick J. Weinberg , Piljin Yi

It is shown analytically that every static, spherically symmetric solution to the Einstein Yang Mills equations with SU(2) gauge group that is defined in the far field has finite ADM mass. Moreover, there can be at most two horizons for…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Arthur G. Wasserman

We construct a new class of asymptotically flat black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are static, and they have a regular event horizon. However, they possess only…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

Regular and black-hole solutions of the spontaneously broken Einstein-Yang-Mills-Higgs theory with nonminimal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and differences with respect to…

High Energy Physics - Theory · Physics 2010-11-19 J. J. van der Bij , Eugen Radu

We present globally regular vortex-type solutions for a pure SU(2) Yang-Mills field coupled to gravity in 3+1 dimensions. These gravitating vortices are static, cylindrically symmetric and purely magnetic, and they support a non-zero…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Gal'tsov , Evgeny A. Davydov , Mikhail S. Volkov

A variation on the abelian Higgs model, with global SU(2) x local U(1) symmetry broken to global U(1) was recently shown by Vachaspati and Achucarro to admit stable, finite energy cosmic string solutions even though the manifold of minima…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , M. E. Ortiz , F. Ruiz Ruiz , T. M. Samols

We determine the low energy dynamics of monopoles in pure N=2 Yang-Mills theories for points in the vacuum moduli space where the two Higgs fields are not aligned. The dynamics is governed by a supersymmetric quantum mechanics with…

High Energy Physics - Theory · Physics 2009-10-31 Jerome P. Gauntlett , Nakwoo Kim , Jaemo Park , Piljin Yi

We consider the $SU(2)$ Self-Dual Yang Mills Higgs Lagrangian in 3 dimension. By adding a ''Gauge Mass'' term to this YMH Lagrangian in the form of $L^2$ norm of the connection we break the gauge invariance and critical points are…

Analysis of PDEs · Mathematics 2026-05-01 Tristan Rivière

We construct new family of spherically symmetric regular solutions of $SU(2)$ Yang-Mills theory coupled to pure $R^2$ gravity. The particle-like field configurations possess non-integer non-Abelian magnetic charge. A discussion of the main…

High Energy Physics - Theory · Physics 2019-05-03 Ilya Perapechka , Yakov Shnir

We obtain BPS Z(2) monopole solutions in Yang-Mills-Higgs theories with the gauge group SU(n) broken to Spin(n)/Z(2) by a scalar field in the nxn representation. We show that the magnetic weights of the so-called fundamental Z(2) monopoles…

High Energy Physics - Theory · Physics 2013-01-24 Marco A. C. Kneipp , Paulo J. Liebgott
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