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Related papers: Deformed self-dual magnetic monopoles

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Axially symmetric monopole anti-monopole dipole solutions to the second order equations of a simple SU(2) Yang-Mills-Higgs model featuring a quartic Skyrme-like term are constructed numerically. The effect of varying the Skyrme coupling…

High Energy Physics - Theory · Physics 2015-06-26 Vanush Paturyan , D. H. Tchrakian

We study static spherically-symmetric solutions of non-Abelian gauge theory coupled to Conformal Gravity. We find solutions for the self-gravitating pure Yang-Mills case as well as monopole-like solutions of the Higgs system. The former are…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Y. Brihaye , Y. Verbin

As shown by Taubes, in the Bogomol'nyi-Prasad-Sommerfield limit the SU(2) Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not satisfy the first order Bogomol'nyi equations. We construct numerically such a…

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , Jutta Kunz

Using methods of differential geometry, a discrete analog of the Yang-Mills equations in Minkowski space is constructed. The gauge transformation law in a discrete formulation is given and gauge invariance of discrete Yang-Mills equations…

Mathematical Physics · Physics 2007-05-23 Volodymyr Sushch

We study the asymptotic behavior of finite energy $\rm{SU}(2)$ monopoles, and general critical points of the $\rm{SU}(2)$ Yang--Mills--Higgs energy, on asymptotically conical $3$-manifolds with only one end. Our main results generalize…

Differential Geometry · Mathematics 2022-09-23 Daniel Fadel

This paper describes an integrable Yang-Mills-Higgs system on (2+1)-dimensional de Sitter space-time. It is the curved-space-time analogue of the Bogomolnyi equations for monopoles on R^3. A number of solutions, of various types, are…

Exactly Solvable and Integrable Systems · Physics 2009-10-31 V Kotecha , R S Ward

We have established a prescription for the calculation of analytical vortex solutions in the context of generalized Maxwell-Higgs models whose overall dynamics is controlled by two positive functions of the scalar field. We have also…

High Energy Physics - Theory · Physics 2014-07-10 R. Casana , M. M. Ferreira , E. da Hora , C. dos Santos

In this paper we study spherically symmetric monopoles, which are critical points for the Yang-Mills-Higgs functional over a disk in 3 dimensions, with prescribed degree and covariant constant at the boundary. This is a 3-dimensional…

Differential Geometry · Mathematics 2010-11-19 Antonella Marini , Lorenzo Sadun

Despite the fact that the integral form of the equations of classical electrodynamics is well known, the same is not true for non-abelian gauge theories. The aim of the present paper is threefold. First, we present the integral form of the…

High Energy Physics - Theory · Physics 2013-05-30 L. A. Ferreira , G. Luchini

We show that, in some limit, gravitational instantons correspond to exotic smooth geometry on R^4. The geometry of this exotic R^4 represents magnetic monopoles of Polyakov-'t Hooft type and the BPS condition allows for the generation of…

Mathematical Physics · Physics 2012-11-19 Torsten Asselmeyer-Maluga , Jerzy Król

We establish that the Wu-Yang monopole needs the introduction of a magnetic point source at the origin in order for it to be a solution of the differential and integral equations for the Yang-Mills theory. That result is corroborated by the…

High Energy Physics - Theory · Physics 2019-04-02 C. P. Constantinidis , L. A. Ferreira , G. Luchini

The topological properties of magnetic monopoles and center vortices arising, respectively, in Abelian and center gauges are studied in continuum Yang-Mills Theory. For this purpose the continuum analog of the maximum center gauge is…

High Energy Physics - Lattice · Physics 2015-06-25 H. Reinhardt , M. Engelhardt , K. Langfeld , M. Quandt , A. Schafke

Quantum corrections to the magnetic central charge of the monopole in N=4 supersymmetric Yang-Mills theory are free from the anomalous contributions that were crucial for BPS saturation of the two-dimensional supersymmetric kink and the N=2…

High Energy Physics - Theory · Physics 2009-11-11 A. Rebhan , R. Schöfbeck , P. van Nieuwenhuizen , R. Wimmer

We construct a new Yang-Mills 3D-solution on the space of negative scalar curvarure. We discuss a problem of non-abelian gauge symmetry is broken with the assumption that a scalar curvature of the domain is a negative small parameter. In…

Algebraic Topology · Mathematics 2024-01-24 Petr Akhmet'ev , Maxim Dvornikov

We consider a most general $SU(2)$ Yang-Mills-Higgs model consist of terms up to quadratic in first-derivative of the fields, that is the generalized $SU(2)$ Yang-Mills-Higgs with additional scalars-dependent coupling $\theta$-term. Using…

High Energy Physics - Theory · Physics 2025-04-24 Mulyanto , Emir Syahreza Fadhilla , Ardian Nata Atmaja

We would like to present some exact SU(2) Yang-Mills-Higgs monopole solutions of half-integer topological charge. These solutions can be just an isolated half-monopole or a multimonopole with topological magnetic charge, ${1/2}m$, where $m$…

High Energy Physics - Theory · Physics 2011-07-19 Rosy Teh , Khai-Ming Wong

We study BPS states in a marginal deformation of super Yang-Mills on R x S^3 using a quantum mechanical system of q-commuting matrices. We focus mainly on the case where the parameter q is a root of unity, so that the AdS dual of the field…

High Energy Physics - Theory · Physics 2009-11-11 David Berenstein , Diego H. Correa

I propose a self-dual deformation of the classical phase space of lattice Yang--Mills theory, in which both the electric and magnetic fluxes take value in the gauge Lie group. A local construction of the deformed phase space requires the…

High Energy Physics - Theory · Physics 2018-01-10 Aldo Riello

New static regular axially symmetric solutions of SU(2) Yang-Mills-Higgs theory are constructed. They are asymptotically flat and represent gravitating monopole-monopole pairs. The solutions form two branches linked to the second…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasha Shnir

We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mills-Higgs theory associated to any compact semi-simple gauge…

High Energy Physics - Theory · Physics 2016-01-27 C. P. Constantinidis , L. A. Ferreira , G. Luchini