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We use the $SU(5)$ model to show the presence in grand unified theories of an electroweak monopole and a magnetic dumbbell ("meson") made up of a monopole-antimonopole pair connected by a $Z$-magnetic flux tube. The monopole is associated…

High Energy Physics - Phenomenology · Physics 2021-05-26 George Lazarides , Qaisar Shafi

We discuss magnetic monopoles in gauge theories with Wilson loops on orbifolds. We present a simple example in 5 dimensions with the fifth dimension compactified on an S^1/Z_2 orbifold. The Wilson loop in this SO(3) example replaces the…

High Energy Physics - Theory · Physics 2010-04-05 Radovan Dermisek , Stuart Raby , S. Nandi

Spherically symmetric solutions of the SU(5) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz \cite{IS}. This way the problem reduces to solving a set of ordinary differential equations for the appropriate…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Theodora Ioannidou

A general analytic spherically symmetric solution of the Bogomol'nyi equations is found. It depends on two constants and one arbitrary function on radius and contains the Bogomol'nyi-Prasad-Sommerfield and Singleton solutions as particular…

General Physics · Physics 2021-10-25 M. O. Katanaev

Z(n) monopoles are important for the understanding of Goddard-Nuyts-Olive duality when the scalar field is not in the adjoint representation. We analyze the Z(2) monopole solutions in a SU(n) Yang-Mills-Higgs theory spontaneously broken to…

High Energy Physics - Theory · Physics 2010-04-06 Marco A. C. Kneipp , Paulo J. Liebgott

We study some non-perturbative aspects of noncommutative gauge theories. We find analytic solutions of the equations of motion, for noncommutative U(1) gauge theory, that describe magnetic monopoles with a finite tension string attached.…

High Energy Physics - Theory · Physics 2009-10-31 David J. Gross , Nikita A. Nekrasov

The classic question of a nonabelian Yang-Mills analogue to electromagnetic duality is here examined in a minimalist fashion at the strictly 4-dimensional, classical field and point charge level. A generalisation of the abelian Hodge star…

High Energy Physics - Theory · Physics 2009-10-28 Chan Hong-Mo , J. Faridani , Tsou Sheung Tsun

In higher dimensional gauge theory, we need energies with higher power terms of field strength in order to realize point-wise monopoles. We consider new models with higher power terms of field strength and extraordinary kinetic term of…

High Energy Physics - Theory · Physics 2009-03-12 Hironobu Kihara

We construct the multi-charge generalizations for the electroweak magnetic monopole solution of Cho and Maison within a wide range of values of the magnetic charge. We use the same ansatz for the axially symmetric fields as the one…

High Energy Physics - Theory · Physics 2023-03-01 Romain Gervalle , Mikhail S. Volkov

We consider the gravitational properties of a global monopole on the basis of the simplest Higgs scalar triplet model in general relativity. We begin with establishing some common features of hedgehog-type solutions with a regular center,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill A. Bronnikov , Boris E. Meierovich , Evgeny R. Podolyak

With the help of the Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field, we find an integrable subsystem of SU(2) Yang-Mills theory coupled to the dilaton. Here integrability means the existence of infinitely many…

High Energy Physics - Theory · Physics 2010-11-11 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

We investigate the self-dual Yang-Mills gauge configurations on $R^3\times S^1$ when the gauge symmetry SU(2) is broken to U(1) by the Wilson loop. We construct the explicit field configuration for a single instanton by the Nahm method and…

High Energy Physics - Theory · Physics 2016-08-25 Kimyeong Lee , Changhai Lu

A classical solution for a magnetic monopole is found in a specific multi-vector boson theory. We consider the model whose $[SU(2)]^{N+1}$ gauge group is broken by sigma-model fields (\`a la dimensional deconstruction) and further…

High Energy Physics - Theory · Physics 2018-06-29 Koichiro Kobayashi , Nahomi Kan , Kiyoshi Shiraishi

A static, spherically symmetric and purely magnetic solution of the Einstein-Yang-Mills-Dilaton theory, found previously by numerical integration is shown to obey a system of first order Bogomol'nyi equations. As common for such equations,…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail S. Volkov , Dieter Maison

We consider the low-energy dynamics of a pair of distinct fundamental monopoles that arise in the $N=4$ supersymmetric $SU(3)$ Yang-Mills theory broken to $U(1)\times U(1)$. Both the long distance interactions and the short distance…

High Energy Physics - Theory · Physics 2015-06-26 Kimyeong Lee , Erick J. Weinberg , Piljin Yi

Solitonic objects play a central role in gauge and string theory (as, e.g., monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a noncommutative deformation of the low-energy effective field theory, which allows for…

High Energy Physics - Theory · Physics 2008-11-26 Olaf Lechtenfeld

The well known topological monopoles originally investigated by 't Hooft and Polyakov are known to arise in classical Yang-Mills-Higgs theory. With a pure gauge theory it is known that the classical Yang-Mills field equation do not have…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Dzhunushaliev , D. Singleton

The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , P. K. Townsend

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

Subjecting the SU(2) Yang--Mills system to azimuthal symmetries in both the $x-y$ and the $z-t$ planes results in a residual subsystem described by a U(1) Higgs like model with two complex scalar fields on the quarter plane. The resulting…

High Energy Physics - Theory · Physics 2008-11-26 Eugen Radu , D. H. Tchrakian
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