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The vortex picture of confinement is studied. The deconfinement phase transition is explained as a transition from a phase in which vortices percolate to a phase of small vortices. Lattice results are presented in support of this scenario.…

High Energy Physics - Theory · Physics 2009-10-31 H. Reinhardt , M. Engelhardt , K. Langfeld , M. Quandt , A. Sch"afke

We study the correlations between center vortices and Abelian monopoles for SU($3$) gauge group. Combining fractional fluxes of monopoles, center vortex fluxes are constructed in the thick center vortex model. Calculating the potentials…

High Energy Physics - Phenomenology · Physics 2017-09-13 Seyed Mohsen Hosseini Nejad , Sedigheh Deldar

We consider the Lagrangian particle model introduced in [hep-th/9612017] for zero mass but nonvanishing second central charge of the planar Galilei group. Extended by a magnetic vortex or a Coulomb potential the model exibits conformal…

High Energy Physics - Theory · Physics 2009-11-10 P. C. Stichel , W. J. Zakrzewski

It is shown that the SU(2) semilocal model -- the Abelian Higgs model with two complex scalars -- admits a new class of stationary, straight string solutions carrying a persistent current and having finite energy per unit length. In the…

High Energy Physics - Theory · Physics 2009-11-11 Peter Forgacs , Sebastien Reuillon , Mikhail Volkov

A self-consistent general relativistic configuration describing a finite cross-section magnetic flux tube is constructed. The cosmic solenoid is modeled by an elastic superconductive surface which separates the Melvin core from the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Aharon Davidson , David Karasik

We study vortex solutions in the Born-Infeld theory coupled with a complex scalar field. We show that for a specific form of the "Higgs" potential the vortex satisfies a set of Bogomol'nyi-type equations. Another model, with nonlinear…

High Energy Physics - Theory · Physics 2018-11-06 Kiyoshi Shiraishi , Satoru Hirenzaki

We obtain static selfgravitating solitonic 3-brane solutions in the Einstein-Skyrme model in 7D. These solitons correspond to a smooth version of the previously discussed cosmic p-brane solutions. We show how the energy momentum tensor of…

High Energy Physics - Theory · Physics 2009-07-29 Jose J. Blanco-Pillado , Handhika S. Ramadhan , Noriko Shiiki

We consider a version of the Skyrme model where both the kinetic term and the Skyrme term are multiplied by field-dependent coupling functions. For suitable choices, this "dielectric Skyrme model" has static solutions saturating the…

High Energy Physics - Theory · Physics 2020-07-15 C. Adam , K. Oles , A. Wereszczynski

By using the complex angular momentum method, we provide a semiclassical analysis of electron scattering by a magnetic vortex of Aharonov-Bohm-type. Regge poles of the $S$-matrix are associated with surface waves orbiting around the vortex…

Condensed Matter · Physics 2007-05-23 Yves Décanini , Antoine Folacci

We show that gravitating Merons in $D$-dimensional massive Yang-Mills theory can be mapped to solutions of the Einstein-Skyrme model. The identification of the solutions relies on the fact that, when considering the Meron ansatz for the…

High Energy Physics - Theory · Physics 2022-02-17 Marcelo Ipinza , Patricio Salgado-Rebolledo

Here, we elaborate on and develop the geometrical approach introduced in K. Le Hur, Physics Reports 1104 1-42 (2025) between the magnetic monopole created from a radial field, quantum physics and topological lattice models through quantum…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Karyn Le Hur , Andrea Baldanza

Magnetic solitons have recently attracted significant attention due to their intricate physical properties and potential applications in information processing. The majority of the studies in this field, however, are focused on a particular…

The baby Skyrme model is a well-known nonlinear field theory supporting topological solitons in two space dimensions. Its action functional consists of a potential term, a kinetic term quadratic in derivatives (the "nonlinear sigma model…

High Energy Physics - Theory · Physics 2015-06-11 C. Adam , C. Naya , J. Sanchez-Guillen , A. Wereszczynski

At variational level in the framework of dimensional reduced 'U_e(1)\times U_g(1)' electromagnetism it is considered an anyon Landau-Ginzburg Chern-Simons model for the fractional Hall effect. The collective gauge fields are due to…

High Energy Physics - Theory · Physics 2012-01-31 P. Castelo Ferreira

Topological vortices in relativistic gauge theories in flat three-dimensional spacetime are investigated. We consider the symmetry $\rm{U(1)}\times...\times \rm{U(1)}$, and for each $\rm{U(1)}$ subgroup, a complex scalar field transforming…

High Energy Physics - Theory · Physics 2022-04-12 D. Bazeia , M. A. Liao , M. A. Marques

We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without a Higgs field, representing static magnetic flux tubes with arbitrary cross-section. The fields are nonperturbatively different from the…

High Energy Physics - Theory · Physics 2009-10-31 Alexios P. Polychronakos

In this work, we investigate the solutions of vortices in the O(3)-sigma model with the gauge field governed by the Chern-Simons term and subject to a hyperbolic self-dual potential. We show that this model admits both topological and…

High Energy Physics - Theory · Physics 2020-10-28 F. C. E. Lima , D. A. Gomes , C. A. S. Almeida

A magnetic vortex occurs as an equilibrium configuration in thin ferromagnetic platelets of micron and sub-micron size and is characterised by an in-plane curling magnetisation. At the centre, a magnetic singularity is avoided by an…

We start from a Lorentz non-invariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to $D=1+2$. The planar model resulting thereof is composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar…

High Energy Physics - Theory · Physics 2007-05-23 H. Belich , T. Costa-Soares , M. M. Ferreira , J. A. Helayel-Neto , M. T. D. Orlando

The characteristic predictions of chiral soliton models - the Skyrme model and its extentions - are discussed. The chiral soliton models prediction of dibaryon states with masses below NN-pion threshold is in qualitative agreement with…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vladimir Kopeliovich