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Related papers: Walls and chains of planar skyrmions

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We consider a generalized Brans-Dicke model in which the scalar field has a self-interacting potential function. The scalar field is also allowed to couple non-minimally with the matter part. We assume that it has a chameleon behavior in…

High Energy Physics - Theory · Physics 2019-01-21 Yousef Bisabr

Two structures are said to be equimorphic if each embeds in the other. Such structures cannot be expected to be isomorphic, and in this paper we investigate the special case of linear orders, here also called chains. In particular we…

Combinatorics · Mathematics 2014-07-11 C. Laflamme , M. Pouzet , R. Woodrow

Phases of matter are ubiquitous with everyday examples including solids and liquids. In reduced dimensions, particular phases, such as the two-dimensional (2D) hexatic phase and corresponding phase transitions occur. A particularly exciting…

This paper describes a lattice version of the Skyrme model in 2+1 and 3+1 dimensions. The discrete model is derived from a consistent discretization of the radial continuum problem. Subsequently, the existence and stability of the skyrmion…

Exactly Solvable and Integrable Systems · Physics 2008-12-18 Theodora Ioannidou , Panos Kevrekidis

We investigate a recent proposal to construct chiral gauge theories on the lattice using domain wall fermions. We restrict ourselves to the finite volume case, in which two domain walls are present, with modes of opposite chirality on each…

High Energy Physics - Lattice · Physics 2009-10-22 Maarten F. L. Golterman , Karl Jansen , Donald N. Petcher , Jeroen C. Vink

We introduce a consistent ansatz for the baby Skyrme model in (2+1)-dimensions which is able to reduce the complete set of field equations to just one equation for the profile function in situations in which the baby baryon charge can be…

High Energy Physics - Theory · Physics 2021-02-03 Marco Barsanti , Stefano Bolognesi , Fabrizio Canfora , Gianni Tallarita

We show that all kinds of biasing of cosmological phase transitions produce qualitatively new type of domain wall networks. The biased networks consist of compact, finite size, bag-like wall structures and exhibit a generic instability. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zygmunt Lalak

Solving numerically the equations of motion for the effective lagrangian describing supersymmetric QCD with the SU(2) gauge group, we find a menagerie of complex domain wall solutions connecting different chirally asymmetric vacua. Some of…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Smilga , A. I. Veselov

We consider a one parameter family of mass terms for the Skyrme model that disfavours shell-like configurations for multi-baryon classical solutions. We argue that a model with such mass terms can provide a better description of nuclei as…

High Energy Physics - Theory · Physics 2008-11-26 Bernard Piette , Wojtek J. Zakrzewski

We study three distinct types of planar, spherically symmetric and localized structures, one of them having non-topological behavior and the two others being of topological nature. The non-topological structures have energy density…

Mesoscale and Nanoscale Physics · Physics 2017-02-16 D. Bazeia , E. I. B. Rodrigues

We consider the Skyrme model modified by the addition of mass terms which explicitly break chiral symmetry and pick out a specific point on the model's target space as the unique true vacuum. However, they also allow the possibility of…

High Energy Physics - Theory · Physics 2019-02-06 Éric Dupuis , Mareike Haberichter , Richard MacKenzie , M. B. Paranjape , U. A. Yajnik

In the continuum a skyrmion is a topological nontrivial map between Riemannian manifolds, and a stationary point of a particular energy functional. This paper describes lattice analogues of the aforementioned skyrmions, namely a natural way…

Pattern Formation and Solitons · Physics 2015-01-23 E. G. Charalampidis , T. A. Ioannidou , P. G. Kevrekidis

Domain wall fermions are defined on a lattice with an extra direction the size of which controls the chiral properties of the theory. When gauge fields are coupled to domain wall fermions the extra direction is treated as an internal flavor…

High Energy Physics - Lattice · Physics 2009-10-31 P. Vranas , I. Tziligakis , J. Kogut

We study fermions on a finite chain, interacting repulsively when residing on the same and on nearest-neighbor sites, and subjected to a Wannier-Stark linearly-varying potential. Using the density matrix renormalization-group numerical…

Strongly Correlated Electrons · Physics 2023-10-06 N. Aucar Boidi , K. Hallberg , A. Aharony , O. Entin-Wohlman

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 re-examine the internal structure of skyrmioniums stabilized in quasi-two-dimensional chiral magnets with easy-axis uniaxial anisotropy. Skyrmioniums are particle-like states of two nested skyrmions with opposite polarities contributing…

Mesoscale and Nanoscale Physics · Physics 2024-04-17 Kaito Nakamura , Andrey O. Leonov

This current work is an extension to work previously done by the authors. The dynamics of a baby skyrmion configuration, in a model Landau-Lifshitz equation, was studied in the presence of various potential obstructions. The baby skyrmion…

Pattern Formation and Solitons · Physics 2009-07-03 J. C. Collins , W. J. Zakrzewski

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

Embedded walls are domain wall solutions which are unstable in the vacuum but stabilized in a plasma of the early Universe. We show how embedded walls in which the electroweak symmetry is restored can lead to an efficient scenario of…

High Energy Physics - Phenomenology · Physics 2024-08-13 Tobias Schröder , Robert Brandenberger

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