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We present a systematic approach to the linearised Yang-Mills-Higgs equations in the background of a 't Hooft-Polyakov monopole and use it to unify and extend previous studies of their spectral properties. We show that a quaternionic…

High Energy Physics - Theory · Physics 2011-03-21 Katie M Russell , Bernd J Schroers

We study the Yang-Mills-Higgs system within the framework of general relativity. In the static situation, using Bogomol'nyi type analysis, we derive a positive-definite energy functional which has a lower bound. Specializing to the gauge…

High Energy Physics - Phenomenology · Physics 2010-11-01 Nguyen Ai Viet , Kameshwar C. Wali

The spherically symmetric magnetic monopole in an SU(2) gauge theory coupled to a massless Higgs field is shown to possess an infinite number of resonances or quasinormal modes. These modes are eigenfunctions of the isospin 1 perturbation…

High Energy Physics - Theory · Physics 2009-11-10 Peter Forgacs , Mikhail S. Volkov

Generalisations of the 't Hooft-Polyakov monopole which can exhibit repulsion only, attraction only, and both attraction and repulsion, between like monopoles, are studied numerically. The models supporting these solitons are SO(3) gauged…

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , D. O'Keeffe , D. H. Tchrakian

In this paper, we extend the analysis of the Lorentz-violating Quantum Eletrodynamics to the non-Abelian case: an SO(3) Yang-Mills Lagrangian with the addition of the non-Abelian Chern-Simons-type term. We consider the spontaneous symmetry…

High Energy Physics - Theory · Physics 2008-11-26 A. P. Baeta Scarpelli , J. A. Helayel-Neto

In this letter we present a comprehensive analysis of the differential equations governing the spatial profile of the 't~Hooft-Polyakov monopole from the viewpoint of resurgence theory. We note that the universality of the gauge-component…

High Energy Physics - Theory · Physics 2026-05-19 Michal Malinský

The 't Hooft-Polyakov monopole solution in Yang-Mills theory is given new physical interpretation in the geometric theory of defects. It describes solids with continuous distribution of dislocations and disclinations. The corresponding…

General Physics · Physics 2020-07-28 M. O. Katanaev

We deal with the presence of magnetic monopoles in a non Abelian model that generalizes the standard 't~Hooft-Polyakov model in three spatial dimensions. We investigate the energy density of the static and spherically symmetric solutions to…

High Energy Physics - Theory · Physics 2018-08-08 D. Bazeia , M. A. Marques , Gonzalo J. Olmo

We demonstrate that the geodesic dynamics of BPS solitons can be modified by the excitation of Feshbach resonances, or quasi-bound modes, in a toy model of two scalar fields. A mode-generated force emerges, with a strength determined by the…

High Energy Physics - Theory · Physics 2025-01-15 Alberto García Martín-Caro , Jose Queiruga , Andrzej Wereszczynski

We present a non-Abelian model for magnetic monopoles in inhomogeneous media, based on a generalization of the standard 't~Hooft-Polyakov model. The medium is described by spatially dependent couplings in the gauge and scalar sectors,…

High Energy Physics - Theory · Physics 2026-04-23 Filipe Rodrigues da Silva , Azadeh Mohammadi

We consider perturbations in the fields of the 't Hooft-Polyakov monopole, dyon and point electric solutions. We find a series of bound modes where the fields are confined to the core of the respective solutions, and these are interpreted…

High Energy Physics - Theory · Physics 2007-05-23 Michael Goodband

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

A model of monopolium is constructed based on an electromagnetic dual formulation of Zwanziger and lattice gauge theory. To cope with the strong coupling nature of the magnetic charge, for which the monopole is confined, $ U(1) $ lattice…

High Energy Physics - Phenomenology · Physics 2016-12-30 Neil D. Barrie , Akio Sugamoto , Kimiko Yamashita

We have found analytical self-dual solutions within the generalized Yang-Mills-Higgs model introduced in Phys. Rev. D 86, 085034 (2012). Such solutions are magnetic monopoles satisfying Bogomol'nyi-Prasad-Sommerfield (BPS) equations and…

High Energy Physics - Theory · Physics 2013-04-25 R. Casana , M. M. Ferreira , E. da Hora , C. dos Santos

We construct exact t Hooft-Polyakov monopole solutions in a non-Hermitian field theory with local non-Abelian SU(2) gauge symmetry and a modified antilinear CPT symmetry. The solutions are obtained in a fourfold Bogomolny-Prasad-Sommerfield…

High Energy Physics - Theory · Physics 2020-08-28 Andreas Fring , Takanobu Taira

We investigate the presence of magnetic monopoles in a model that extends the non Abelian model originally studied by 't Hooft and Polyakov with the inclusion of an extra neutral field. The investigation includes modifications of the…

High Energy Physics - Theory · Physics 2018-06-06 D. Bazeia , M. A. Marques , R. Menezes

It is demonstrated that there are smooth Yang-Mills potentials which correspond to monopoles and vortices of one-half winding number. They are the generic configurations, in contrast to the integral winding number configurations like the 't…

High Energy Physics - Theory · Physics 2009-11-10 E. Harikumar , Indrajit Mitra , H. S. Sharatchandra

We explore the phenomenology of a model of monopolium based on an electromagnetic dual formulation of Zwanziger and lattice gauge theory. The monopole is assumed to have a finite-sized inner structure based on a 't Hooft-Polyakov like…

High Energy Physics - Phenomenology · Physics 2021-04-15 Neil D. Barrie , Akio Sugamoto , Matthew Talia , Kimiko Yamashita

The method of quantization of magnetic monopoles based on the order-disorder duality existing between the monopole operator and the lagrangian fields is applied to the description of the quantum magnetic monopoles of `t Hooft and Polyakov…

High Energy Physics - Theory · Physics 2009-10-22 E. C. Marino , R. O. Ramos

Monopole-like objects have been identified in multiple lattice studies, and there is now a significant amount of literature on their importance in phenomenology. Some analytic indications of their role, however, are still missing. The 't…

High Energy Physics - Phenomenology · Physics 2018-07-04 Adith Ramamurti , Edward Shuryak , Ismail Zahed
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