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A systematic numerical study of the classical solutions to the combined system consisting of the Georgi-Glashow model and the SO(3) gauged Skyrme model is presented. The gauging of the Skyrme system permits a lower bound on the energy, so…

High Energy Physics - Theory · Physics 2010-11-19 B. Kleihaus , D. H. Tchrakian , F. Zimmerschied

Three dimensional SO(3) gauged Skyrme models characterised by specific potentials imposing special asymptotic values on the chiral field are considered. These models are shown to support finite energy solutions with nonvanishing magnetic…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Betti Hartmann , D. H. Tchrakian

We derive a one-parameter family of gauged Skyrme models from Yang-Mills theory on $S^1\times\mathbb{R}^3$, in which skyrmions are well-approximated by calorons and monopoles. In particular we study the spherically symmetric solutions to…

High Energy Physics - Theory · Physics 2018-11-27 Josh Cork

We have studied an $SO(4)$ gauged $O(5)$ Skyrmion on $\mathbb{R}^4$ which can be seen as a static soliton in $4+1$ dimensions. This is a sequel of the known $SO(D)$ gauged $O(D+1)$ Skyrmions on $\mathbb{R}^D$ in $D=2$ and in $D=3$, like…

High Energy Physics - Theory · Physics 2025-10-17 Francisco Navarro-Lerida , D. H. Tchrakian

We construct the first analytic examples of topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model within a finite box in (3+1)-dimensional flat space-time. There are two types of gauged solitons. The first…

High Energy Physics - Theory · Physics 2018-01-17 L. Avilés , F. Canfora , N. Dimakis , D. Hidalgo

We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree…

High Energy Physics - Theory · Physics 2023-06-21 Leandro Roza Livramento , Eugen Radu , Yakov Shnir

The baby Skyrme model is a (2+1)-dimensional analogue of the Skyrme model, in which baryons are described by topological solitons. In this paper we introduce a version of the baby Skyrme model in which the global O(3) symmetry is broken to…

High Energy Physics - Theory · Physics 2015-05-28 Juha Jäykkä , Martin Speight , Paul Sutcliffe

The canonical recursive Dyson--Schwinger equations for the three-gluon and ghost-gluon vertices are solved numerically. The employed truncation includes several previously neglected diagrams and includes back-coupling effects. We find an…

High Energy Physics - Phenomenology · Physics 2015-02-18 Markus Q. Huber , Davide R. Campagnari , Hugo Reinhardt

Based on the observation that the skyrmion in Skyrme theory can be viewed as a dressed monopole, we show that the skyrmions have two independent topology, the baryon topology $\pi_3(S^3)$ and the monopole topology $\pi_2(S^2)$. With this we…

High Energy Physics - Theory · Physics 2018-03-22 Y. M. Cho , Kyoungtae Kimm , J. H. Yoon , Pengming Zhang

We study the simplest $SO(2)$ gauged $O(5)$ Skyrme models in $4+1$ (flat) dimensions. In the gauge decoupled limit, the model supports topologically stable solitons (Skyrmions) and after gauging, the static energy of the solutions is…

High Energy Physics - Theory · Physics 2020-07-01 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

A non-linear sigma model mimicking the Skyrme model on S_3 is proposed and a family of classical solutions to the equations are constructed numerically. The solutions terminate into catastrophe-like spikes at critical values of the Skyrme…

High Energy Physics - Theory · Physics 2009-10-31 Yves Brihaye , Claude Gabriel

Vector $SO(3)$ gauged $O(4)$ sigma models on $\R_3$ are presented. The topological charge supplying the lower bound on the energy and rendering the soliton stable coincides with the Baryon number of the Skyrmion. These solitons have…

High Energy Physics - Theory · Physics 2009-10-30 K. Arthur , D. H. Tchrakian

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

The continuum limit of the tilted SU(2) spin model is shown to give rise to the gauge Landau-Lifshitz equation which provides a unified description for various spin orders. For a definite gauge, we find a double periodic solution, where the…

Strongly Correlated Electrons · Physics 2011-12-07 You-Quan Li , Ye-Hua Liu , Yi Zhou

Following Marleau, we study an extended version of the Skyrme model to which a sixth order term has been added to the Lagrangian and we analyse some of its classical properties. We compute the multi-Skyrmion solutions numerically for up to…

High Energy Physics - Theory · Physics 2009-11-07 I. Floratos , B. Piette

We consider solutions of the Yang-Mills-Higgs system coupled to gravity in asymptotically de Sitter spacetime. The basic features of two classes of solutions are discussed, one of them corresponding to magnetic monopoles, the other one to…

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

We consider a variant of the Georgi Glashow model in the BPS limit, augmented by a higher derivative Skyrme-like term, which is the simplest YMH model that can support monopole bound states. The spherically symetric solutions are studied…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , J. Burzlaff , D. H. Tchrakian

Recently it has been pointed out that the skyrmions carry two independent topology, the baryon topology and the monopole topology. We provide more evidence to support this. In specific, we prove that the baryon number $B$ can be decomposed…

High Energy Physics - Theory · Physics 2018-03-22 Pengming Zhang , Kyoungtae Kimm , Liping Zou , Y. M. Cho

The broken planar Skyrme model is a theory that breaks global O(3) symmetry to the dihedral group D_N. It has been shown that the single soliton solution is formed of N constituent parts, named partons, that are topologically confined. The…

High Energy Physics - Theory · Physics 2015-06-16 Paul Jennings , Thomas Winyard

We consider the ${\cal N}=1$ Skyrme model and obtain supersymmetric skyrmion solutions numerically. The model necessarily contains higher derivative terms and as a result the field equation becomes a fourth-order differential equation.…

High Energy Physics - Theory · Physics 2007-05-23 Noriko Shiiki , Nobuyuki Sawado , Shinsho Oryu
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