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In the Skyrme model atomic nuclei are modelled as quantized soliton solutions in a nonlinear field theory of pions. The mass number is given by the conserved topological charge $B$ of the solitons. Conventionally, Skyrmions are…

High Energy Physics - Theory · Physics 2015-01-12 Mareike Haberichter

We investigate multi-monopole solutions of a modified version of the BPS Yang-Mills-Higgs model in which a term quartic in the covariant derivatives of the Higgs field (a Skyrme term) is included in the Lagrangian. Using numerical methods…

High Energy Physics - Theory · Physics 2009-11-07 D. Yu. Grigoriev , P. M. Sutcliffe , D. H. Tchrakian

The BPS Skyrme model has been demonstrated already to provide a physically intriguing and quantitatively reliable description of nuclear matter. Indeed, the model has both the symmetries and the energy-momentum tensor of a perfect fluid,…

High Energy Physics - Theory · Physics 2015-06-22 C. Adam , C. Naya , J. Sanchez-Guillen , R. Vazquez , A. Wereszczynski

The possible boundary value problems of the skyrmions are reexamined in the original Skyrme model with two new viewpoints. The first one suggests to replace the infinity boundary point by the finite radius R, which is related to the density…

High Energy Physics - Phenomenology · Physics 2013-09-09 Viet Ai Nguyen , Khanh Duy Nguyen

We develop a multiscale approach to magnetoelectric effects, bridging atomistic and continuum models, with all parameters determined from ab initio electronic structure calculations. We show that the parameters of the model are equivalent…

Materials Science · Physics 2025-09-30 Alexander Edström , Paolo Barone , Silvia Picozzi , Massimiliano Stengel

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 various properties of a one parameter mass term for the Skyrme model, originating from the works of Kopeliovich, Piette and Zakrzewski, through the use of axially symmetric solutions obtained numerically by simulated-annealing.…

High Energy Physics - Phenomenology · Physics 2009-11-18 Merlin C. Davies , Luc Marleau

We study static solutions of the standard Skyrme model with a pion mass. Using approximately $10^5$ pseudo-random initial configurations made of single Skyrmions in the non-symmetrized product Ansatz and an automatic detection of repeated…

High Energy Physics - Theory · Physics 2022-08-16 Sven Bjarke Gudnason , Chris Halcrow

Recently, it has been shown that (4+1)-dimensional Yang-Mills theory may be written as a (3+1)-dimensional BPS Skyrme model, in which the Skyrme field is coupled to an infinite tower of vector mesons. Truncating this tower to a single…

High Energy Physics - Theory · Physics 2015-05-27 Paul Sutcliffe

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

The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge as soliton solutions. It is, however, not so easy within the standard Skyrme model to reproduce the almost exact linear growth of the nuclear masses…

High Energy Physics - Theory · Physics 2014-11-20 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

Three dyon solutions to the SU(2) Yang-Mills-Higgs system are presented. These solutions are obtained from the BPS dyon by allowing the gauge fields to be complex, or by letting the free parameter of the BPS solution become imaginary. In…

High Energy Physics - Theory · Physics 2007-05-23 Douglas Singleton

The magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved also for boundary conditions corresponding to an…

High Energy Physics - Theory · Physics 2015-06-19 C. Adam , T. Romanczukiewicz , J. Sanchez-Guillen , A. Wereszczynski

We study the existence of BPS configurations in a restricted baby Skyrme-Maxwell enlarged via the inclusion of a nontrivial magnetic permeability. In order to attain such a goal, we use the Bogomol'nyi-Prasad-Sommerfield prescription, which…

High Energy Physics - Theory · Physics 2024-09-10 J. Andrade , R. Casana , E. da Hora , A. C. Santos

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

We subject the baby Skyrme model to a Moyal deformation, for unitary or Grassmannian target spaces and without a potential term. In the abelian case, the radial BPS configurations of the ordinary noncommutative sigma model also solve the…

High Energy Physics - Theory · Physics 2011-07-19 Theodora Ioannidou , Olaf Lechtenfeld

We investigate how isospin affects the geometrical shape and energy of classical soliton solutions of topological charges $B=1-4,8$ in the Skyrme model. The novel approach in our work is that we study classically isospinning Skyrmions…

High Energy Physics - Theory · Physics 2015-01-07 Richard A. Battye , Mareike Haberichter , Steffen Krusch

We show that there exist two types of universal phenomena for three-boson systems with isospin degrees of freedom. In the isospin symmetric limit, there is only one universal three-boson bound state with the total isospin one, whose binding…

High Energy Physics - Phenomenology · Physics 2014-03-11 Tetsuo Hyodo , Tetsuo Hatsuda , Yusuke Nishida

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

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