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A numerical study of static spherically symmetric monople solutions of a spontaneously broken SU(2) gauge theory coupled to a dilaton field is presented. Regular solutions seem to exist only up to a maximal value of the dilaton coupling. In…

High Energy Physics - Theory · Physics 2010-11-19 Peter Forgacs , Jozsef Gyurusi

A modified $SU(2)$ Georgi-Glashow model is considered here, and it is shown that besides the well-known Julia-Zee dyon solution, the model can also have a modified dyon solution. The properties of the modified dyon solution are studied…

High Energy Physics - Theory · Physics 2025-06-25 A. Yu. Loginov

We discuss a class of effective extensions of the $SU(2)$ Georgi-Glashow model and discuss its Bogomol'nyi-Prasad-Sommerfield (BPS) limit. We identify a specific subclass of these models that admit analytical solutions of the monopole type.…

High Energy Physics - Theory · Physics 2023-12-22 Petr Beneš , Filip Blaschke

Semiclassical instanton solutions in the 3D SU(2) Georgi-Glashow model are transformed into the Weyl gauge. This illustrates the tunneling interpretation of these instantons and provides a smooth regularization of the singular unitary…

High Energy Physics - Theory · Physics 2009-11-11 Gerald V. Dunne , Vishesh Khemani

Dyonic classical solutions of $SU(2)$ gluodynamics are discussed. Exact form of dyonic solutions in different gauges is presented and the nontrivial problem of composition of the dilute gas of dyons is settled. Classical interaction between…

High Energy Physics - Phenomenology · Physics 2008-02-03 Yu. A. Simonov

We construct sequences of axially symmetric multisphaleron solutions in SU(2) Yang-Mills-dilaton theory. The sequences are labelled by a winding number $n>1$. For $n=1$ the known sequence of spherically symmetric sphaleron solutions is…

High Energy Physics - Theory · Physics 2014-11-18 Burkhard Kleihaus , Jutta Kunz

This paper describes a natural one-parameter family of generalized Skyrme systems, which includes the usual SU(2) Skyrme model and the Skyrme-Faddeev system. Ordinary Skyrmions resemble polyhedral shells, whereas the Hopf-type solutions of…

High Energy Physics - Theory · Physics 2009-11-10 R. S. Ward

We define a gauged non-linear sigma model for a 2-sphere valued field and a $SU(2)$ connection on an arbitrary Riemann surface whose energy functional reduces to that for critically coupled magnetic skyrmions in the plane, with arbitrary…

High Energy Physics - Theory · Physics 2019-10-31 Bernd Schroers

The Faddeev-Skyrme model, a modified O(3) nonlinear sigma model in three space dimensions, is known to admit topological solitons that are stabilized by the Hopf charge. The Faddeev-Skyrme model is also related to the low-energy limits of…

High Energy Physics - Theory · Physics 2011-08-17 Wang-Chang Su

We study static spherically symmetric gravitating dyon solutions and dyonic black holes in Einstein-Yang-Mills-Higgs theory. The gravitating dyon solutions share many features with the gravitating monopole solutions. In particular,…

High Energy Physics - Theory · Physics 2009-10-31 Yves Brihaye , Betti Hartmann , Jutta Kunz

We prove the existence of dark monopole solutions in a recently formulated Yang--Mills--Higgs theory model with technical features similar to the classical monopole problems. The solutions are obtained as energy-minimizing static…

Mathematical Physics · Physics 2019-12-11 Xiangqin Zhang , Yisong Yang

We construct the component action and supersymmetry transformations of the $\mathcal{N} = 3$ Chern-Simons-Yang-Mills theory that flows in the infra red to the $\mathcal{N} = 3$ super conformal quiver Chern-Simons gauge theory obtained by…

High Energy Physics - Theory · Physics 2019-07-31 Bobby Ezhuthachan , Chethan N. Gowdigere , Moumita Patra

Normally, standard (ungauged) skyrmion masses are proportional to the coupling of the Skyrme term needed for stability, and so can grow to infinite magnitude with increasing coupling. In striking contrast, when skyrmions are gauged, their…

High Energy Physics - Theory · Physics 2009-10-02 Yves Brihaye , Christopher Hill , Cosmas Zachos

These are expanded notes of lectures given at the Advanced Summer School on Modern Mathematical Physics (JINR Dubna, July 2005) and at the 8th International School-Seminar ``The actual problems of microworld physics 2005'' (Gomel-Dubna,…

High Energy Physics - Theory · Physics 2007-05-23 Yasha Shnir

Classical solutions corresponding to monopole-antimonopole pairs are found in 3d and 4d SU(2) and U(1) lattice gauge theories. The stability of these solutions in different theories is studied.

High Energy Physics - Lattice · Physics 2009-10-31 V. K. Mitrjushkin

Recently we have presented in hep-th/9811071 an ansatz which allows us to construct skyrmion fields from the harmonic maps of $S\sp2$ to $CP\sp{N-1}$. In this paper we examine this construction in detail and use it to construct, in an…

High Energy Physics - Theory · Physics 2010-11-19 T. Ioannidou , B. Piette , W. J. Zakrzewski

Localized static solutions of the 2D-O(3) model are investigated in a representation with the 3-vector field $\vec Phi$ split into the unit vector $\hat Phi$ and the modulus $\Phi$. As in the nonlinear version of the model this allows for…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Holzwarth

Exact analytic solutions of the Skyrme model defined on a spherically symmetric $R^{(1,1)} \times S^2$ geometry, chosen to mimic finite volume effects, are presented. The static and spherically symmetric configurations have non-trivial…

High Energy Physics - Theory · Physics 2015-06-22 Fabrizio Canfora , Francisco Correa , Jorge Zanelli

Axially symmetric gravitating multi-skyrmion configurations are obtained using the harmonic map ansatz introduced in [1]. In particular, the effect of gravity on the energy and baryon densities of the SU(3) non-gravitating multi-skyrmion…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Theodora Ioannidou , Burkhard Kleihaus , Wojtek Zakrzewski

We construct analytic (3+1)-dimensional Skyrmions living at finite Baryon density in the SU(N) Skyrme model that are not trivial embeddings of SU(2) into SU(N). We used Euler angles decomposition for arbitrary N and the generalized hedgehog…

High Energy Physics - Theory · Physics 2020-07-01 Pedro D. Alvarez , Sergio L. Cacciatori , Fabrizio Canfora , Bianca L. Cerchiai