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We discuss the similarities between BPS monopoles and Skyrmions, and point to an underlying connection in terms of rational maps between Riemann spheres. This involves the introduction of a new ansatz for Skyrme fields. We use this to…

High Energy Physics - Theory · Physics 2009-10-30 Conor Houghton , Nicholas Manton , Paul Sutcliffe

The physics of skyrmions, and in particular the issue of how to isolate and manipulate them individually, is a subject of major importance nowadays in the community of magnetism. In this article we present an in-depth extension of a study…

Statistical Mechanics · Physics 2024-02-29 F. A. Gómez Albarracín , H. D. Rosales , Masafumi Udagawa , P. Pujol , Ludovic D. C. Jaubert

Skyrmions are stable and topologically non-trivial field configurations that behave like localized particles. They appear in the chiral effective theory for pions, where they correspond to the baryon states, and might also exist in the…

High Energy Physics - Phenomenology · Physics 2026-01-28 Mikael Chala , Juan Carlos Criado , Luis Gil

Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory.…

High Energy Physics - Theory · Physics 2007-05-23 Minoru Eto , Muneto Nitta , Keisuke Ohashi , David Tong

New collective coordinates, related to the field at the `center' of the monopoles, are proposed. A systematic computation of the infrared properties of 2+1- and 3+1- dimensional Yang-Mills theory is now possible and is related to solutions…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. S. Sharatchandra

Skyrmions are important in topological quantum field theory for being soliton solutions of a nonlinear sigma model and in information technology for their attractive applications. Skyrmions are believed to be circular and stripy spin…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 X. R. Wang , X. C. Hu , H. T. Wu

We describe a weak coupling realization of the deconfinement transition in gauge theory compactified on $R^3\times S^1$. We consider Yang-Mills theory with a single Weyl fermion of mass $m$ in the adjoint representation of the gauge group.…

High Energy Physics - Lattice · Physics 2013-10-31 Thomas Schaefer

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 study the embedded QCD monopoles (``quark monopoles'') using low-lying eigenmodes of the overlap Dirac operator in zero- and finite-temperature SU(2) Yang-Mills theory on the lattice. These monopoles correspond to the gauge-invariant…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , S. M. Morozov

We present candidates for the global minimum energy solitons of charge one to nine in the Skyrme model, generated using sophisticated numerical algorithms. Assuming the Skyrme model accurately represents the low energy limit of QCD, these…

High Energy Physics - Theory · Physics 2009-10-30 Richard Battye , Paul Sutcliffe

A new model for monopole catalysis of nucleon decay is proposed. Unlike in the earlier one, the only light fields in this model are the photon and Skyrme (pion) field. The model admits the 't Hooft- Polyakov monopole and Skyrmion as…

High Energy Physics - Theory · Physics 2009-11-07 Y. Brihaye , D. Yu. Grigoriev , V. A. Rubakov , D. H. Tchrakian

We investigate the connection between Color Confinement and thermal Abelian monopoles populating the deconfined phase of SU(2) Yang-Mills theory, by studying how the statistical properties of the monopole ensemble change as the…

High Energy Physics - Lattice · Physics 2010-05-25 Alessio D'Alessandro , Massimo D'Elia , Edward Shuryak

We consider 5d Yang-Mills-Higgs theory with a compact ADE-type gauge group $G$ and one adjoint scalar field on $\mathbb{R}^{3,1}\times\mathbb{R}_+$, where $\mathbb{R}_+=[0,\infty)$ is the half-line. The maximally supersymmetric extension of…

High Energy Physics - Theory · Physics 2018-09-25 Olaf Lechtenfeld , Alexander D. Popov

We consider the dielectric Skyrme model proposed recently, with and without the addition of the standard pion mass term. Then we write down Bogomol'nyi-type energy bounds for both the massless and massive cases. We further show that, except…

High Energy Physics - Theory · Physics 2020-12-21 Sven Bjarke Gudnason

We review an approach, developed over the past few years, to describe hadronic matter at finite density and temperature, whose underlying theoretical framework is the Skyrme model, an effective low energy theory rooted in large $N_c$ QCD.…

High Energy Physics - Phenomenology · Physics 2016-12-21 Byung-Yoon Park , Vicente Vento

We study the phase structure of N=1 supersymmetric Yang-Mills theory on R^3XS^1, with massive gauginos, periodic around the S^1, with Sp(2N) (N>=2), Spin(N) (N>=5), G_2, F_4, E_6, E_7, E_8 gauge groups. As the gaugino mass m is increased,…

High Energy Physics - Theory · Physics 2015-06-19 Mohamed M. Anber , Erich Poppitz , Brett Teeple

The recent discovery of tunable Dzyaloshinskii-Moriya interactions in layered magnetic materials with perpendicular magnetic anisotropy makes them promising candidates for stabilization and manipulation of skyrmions at elevated…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 Rick Keesman , A. O. Leonov , P. van Dieten , Stefan Buhrandt , G. T. Barkema , Lars Fritz , R. A. Duine

An unified approximated solution for symmetric Skyrmions was proposed for the SU(2) Skyrme model for baryon numbers up to 8,which take the hybrid form of a kink-like solution and that given by the instanton method. The Skyrmion profiles are…

High Energy Physics - Phenomenology · Physics 2011-03-31 Duo-Jie Jia , Xiao-Wei Wang

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

The mechanism of confinement in Yang-Mills theories remains a challenge to our understanding of nonperturbative gauge dynamics. While it is widely perceived that confinement may arise from chromo-magnetically charged gauge configurations…

High Energy Physics - Phenomenology · Physics 2018-03-28 Miguel Angel Lopez-Ruiz , Yin Jiang , Jinfeng Liao