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We discuss magnetic monopole solutions of the Einstein-Yang-Mills-Higgs equations with a positive cosmological constant. These configurations approach asymptotically the de Sitter spacetime background and exist only for a nonzero Higgs…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yves Brihaye , Betti Hartmann , Eugen Radu , Cristian Stelea

An efficient way of resolving Gauss' law in Yang-Mills theory is presented by starting from the projected gauge invariant partition function and integrating out one spatial field variable. In this way one obtains immediately the description…

High Energy Physics - Theory · Physics 2008-11-26 H. Reinhardt

he Wu-Yang monopole for pure SU(2) Yang-Mills theory is revisited. New classical solutions with finite energy are found for a generalized Wu-Yang configuration. Our method relies on known asymptotic series solutions and explores the…

High Energy Physics - Theory · Physics 2010-04-21 J. A. O. Marinho , O. Oliveira , B. V. Carlson , T. Frederico

By making use of the background field method, we derive a novel reformulation of the Yang-Mills theory which was proposed recently by the author to derive quark confinement in QCD. This reformulation identifies the Yang-Mills theory with a…

High Energy Physics - Theory · Physics 2015-06-26 Kei-Ichi Kondo

We study vortex-type solutions in a (4+1)-dimensional Einstein-Yang-Mills-SU(2) model. Assuming all fields to be independent on the extra coordinate, these solutions correspond in a four dimensional picture to axially symmetric…

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

Applying Cho-Faddeev-Niemi decomposition for SU(2) Yang-Mills field, we obtain the Abelian-Higgs Lagrangian by some approximation. Abelian-Higgs Lagrangian with a spontaneous symmetry breaking potential has vortex solutions known as…

High Energy Physics - Theory · Physics 2014-03-31 Ahmad Mohamadnejad , Sedigheh Deldar

In this paper, we show the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory even in absence of scalar fields when the gauge-invariant mass term is introduced. This result follows from the recent proposal for obtaining…

High Energy Physics - Theory · Physics 2019-12-06 Shogo Nishino , Ryutaro Matsudo , Matthias Warschinke , Kei-Ichi Kondo

In this work, BPS models built from the coupling of Yang-Mills-Higgs Lagrangian to impurities are investigated. We first consider scalar impurities, which in the BPS limit generate monopoles similar to those obtained in a previously…

High Energy Physics - Theory · Physics 2025-10-24 D. Bazeia , M. A. Liao , M. A. Marques

We study deformed supersymmetries in N=2 super Yang-Mills theory in the Omega-backgrounds characterized by two complex parameters $\epsilon_1, \epsilon_2$. When one of the $\epsilon$-parameters vanishes, the theory has extended…

High Energy Physics - Theory · Physics 2015-05-27 Katsushi Ito , Satoshi Kamoshita , Shin Sasaki

We consider self-dual Yang-Mills instantons in 4-dimensional Kaehler spaces with one holomorphic isometry and show that they satisfy a generalization of the Bogomol'nyi equation for magnetic monopoles on certain 3-dimensional metrics. We…

High Energy Physics - Theory · Physics 2018-02-07 Samuele Chimento , Tomas Ortin , Alejandro Ruiperez

We describe new solutions of Yang-Mills-Higgs theories consisting of magnetic monopoles in a phase with fully broken gauge symmetry. Rather than spreading out radially, the magnetic field lines form flux tubes. The solution is topologically…

High Energy Physics - Theory · Physics 2009-11-10 David Tong

The well-known Bogomol'nyi-Prasad-Sommerfeld (BPS) monopole is considered in the limit of the infinite mass of the Higgs field as a basis for constructing the Yang-Mills vacuum with the finite energy density. In this limit the Higgs field…

Mathematical Physics · Physics 2007-05-23 Leonid Lantsman

We review classical monopole solutions of the SU(2) Yang-Mills-Higgs theory. The first part is a pedagogical introduction into to the basic features of the celebrated 't Hooft - Polyakov monopole. In the second part we describe new classes…

High Energy Physics - Theory · Physics 2017-08-23 Yasha Shnir

An ansatz is presented for a possible non-associative deformation of the standard Yang-Mills type gauge theories. An explicit algebraic structure for the deformed gauge symmetry is put forward and the resulting gauge theory developed. The…

High Energy Physics - Theory · Physics 2011-08-17 A. Ritz , G. C. Joshi

This paper investigates an integrable system which is related to hyperbolic monopoles; ie the Bogomolny Yang-Mills-Higgs equations in (2+1) anti-de Sitter space which are integrable and whose solutions can be obtained using analytical…

High Energy Physics - Theory · Physics 2009-11-07 Theodora Ioannidou

We present a systematic exploration of a general family of effective $SU(2)$ models with an adjoint scalar. First, we discuss a redundancy in this class of models and use it to identify seemingly different, yet physically equivalent models.…

High Energy Physics - Theory · Physics 2025-07-31 Petr Beneš , Filip Blaschke

A formulation of $\mathcal{N} = 2$ supersymmetric Yang-Mills theory with a spacetime-dependent gauge coupling allows to study the breaking of conformal symmetry at the quantum level. The theory has an energy-momentum tensor that is only…

High Energy Physics - Theory · Physics 2017-07-19 Marc Gillioz

We study the large N limit in the presence of magnetic monopoles in the Yang-Mills/Higgs model in three dimensions. The physics in the limit depends strongly on the distribution of eigenvalues of the Higgs field in the vacuum, and we…

High Energy Physics - Theory · Physics 2009-09-25 F. Nesti

We study supersymmetry of N=4 super Yang-Mills theory in four dimensions deformed in the Omega-background. We take the Nekrasov-Shatashvili limit of the background so that two-dimensional super Poincare symmetry is recovered. We compute the…

High Energy Physics - Theory · Physics 2016-01-20 Katsushi Ito , Yusuke Kanayama , Hiroaki Nakajima , Shin Sasaki

Three dyon solutions to the SU(2) Yang-Mills-Higgs system are presented. These solutions are obtained from the BPS dyon by allowing the gauge fields to be complex, or by letting the free parameter of the BPS solution become imaginary. In…

High Energy Physics - Theory · Physics 2007-05-23 Douglas Singleton