Dynamics of Baby Skyrmions

Abstract

Baby Skyrmions are topological solitons in a (2+1)-dimensional field theory which resembles the Skyrme model in important respects. We apply some of the techniques and approximations commonly used in discussions of the Skyrme model to the dynamics of baby Skyrmions and directly test them against numerical simulations. Specifically we study the effect of spin on the shape of a single baby Skyrmion, the dependence of the forces between two baby Skyrmions on the baby Skyrmions' relative orientation and the forces between two baby Skyrmions when one of them is spinning.

28 pages (Latex), 9 figures available on request from BJS, DTP 94-25

References in corpus (2)

• Multisolitons in a Two-dimensional Skyrme Model
• Dynamics of Moving and Spinning Skyrmions

Cited by in corpus (140)

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• Spinning Q-Balls
• Recent mathematical developments in the Skyrme model
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• Aspects of Electric and Magnetic Variables in SU(2) Yang-Mills Theory
• Investigation of restricted baby Skyrme models
• Topological and Nontopological Solitons in a Gauged O(3) Sigma Model with Chern-Simons term
• Spinning Skyrmions and the Skyrme Parameters
• Skyrmions and domain walls in (2+1) dimensions
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Non-linear superposition law and Skyrme crystals
• Matryoshka Skyrmions
• Domain wall Skyrmions
• Solitons in a Baby-Skyrme model with invariance under area preserving diffeomorphisms
• Jewels on a wall ring
• Skyrme-Maxwell Solitons in (2+1) Dimensions
• Some aspects of self-duality and generalised BPS theories
• N=1 supersymmetric extension of the baby Skyrme model
• Incarnations of Skyrmions
• Torus knots as Hopfions
• Extended Supersymmetry and BPS solutions in baby Skyrme models
• Multi-soliton dynamics in the Skyrme model
• Compact baby skyrmions
• Rotational symmetry breaking in baby Skyrme models
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Baby Skyrme models for a class of potentials
• Topological energy bounds in generalized Skyrme models
• Relations among topological solitons
• The gauged BPS baby Skyrme model
• Isospinning baby Skyrmion solutions
• Fractional Skyrmions and their molecules
• Scattering of Nucleons in the Classical Skyrme Model
• Classically isospinning Skyrmion solutions
• Mesons, Baryons and Waves in the Baby Skyrmion Model
• Quantum Critical Dynamics of the Skyrmion Lattice
• Planar Skyrmions at high and low density
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension
• Gauged Baby Skyrme Model with Chern-Simons term
• Baryonic sphere: a spherical domain wall carrying baryon number
• Vortices in a nonminimal Maxwell-Chern-Simons O(3) Sigma Model
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Skyrmions on the Two-Sphere
• Winding Hopfions on R^2 x S^1
• Non-relativistic Nambu-Goldstone modes propagating along a skyrmion line
• Magnetothermodynamics of BPS baby skyrmions
• Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions
• Reinterpretation of Faddeev-Niemi Knot in Skyrme Theory
• The effect of Chern-Simons dynamics on the energy of electrically charged and spinning vortices
• The Casimir energy of skyrmions in the 2+1-dimensional O(3)-model
• Gauged Aloof Baby Skyrme Model
• Topological Objects in Two-component Bose-Einstein Condensates
• Isorotating Baby Skyrmions
• Effective field theories on solitons of generic shapes
• Baby Skyrme model and fermionic zero modes
• Stable Topological Skyrmions on the 2D Lattice
• BPS submodels of the Skyrme model
• Chromoelectric Knot in QCD
• Broken planar Skyrmions -- statics and dynamics
• Stabilizing textures with magnetic fields
• Knots from wall--anti-wall annihilations with stretched strings
• Hexagonal Structure of Baby Skyrmion Lattices
• D-brane solitons in various dimensions
• Baby Skyrmion Strings
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• Incarnations of Instantons
• On the Strong Coupling Limit of the Faddeev-Hopf Model
• Near-BPS baby Skyrmions
• Baby Skyrme models without a potential term
• Folding in the Skyrme Model
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Baby Skyrmion crystals
• Creation and dynamics of two-dimensional skyrmions in antiferromagnetic spin-1 Bose-Einstein condensates
• New Interpretation of Skyrme Theory
• Infrared degrees of freedom of Yang-Mills theory in the Schroedinger representation
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• Topological duality between vortices and planar skyrmions in BPS theories with APD symmetries
• Baby Skyrmions on the Two-Sphere
• Energy-level inversion for vortex states in spin-orbit coupled Bose-Einstein condensates
• Lifshitz field theories with SDiff symmetries
• Skyrmion-anti-Skyrmion Annihilation with Omega Mesons
• On the spin excitation energy of the nucleon in the Skyrme model
• Spontaneous Breaking of Rotational Symmetry in Rotating Solitons - a Toy Model of Excited Nucleons with High Angular Momentum
• Planar Skyrmions: Vibrational Modes and Dynamics
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Non-Abelian Vortex-String Dynamics from Nonlinear Realization
• Hopfions interaction from the viewpoint of the product ansatz
• Solitons in the Gauged Skyrme-Maxwell Model
• Exact Self-dual Soliton Solutions in a Gauged O(3) Sigma Model with Anomalous Magnetic Moment Interaction
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Quantum soliton scattering manifolds
• From Effective Lagrangians, to Chiral Bags, to Skyrmions with the Large-N_c Renormalization Group
• Baby Skyrmions stabilized by canonical quantization
• The field theory of Skyrme lattices in quantum Hall ferromagnets
• Field Theory of Skyrme Lattices in Quantum Hall Ferromagnets
• The vector BPS baby Skyrme model
• Gravitational Field of a Spinning Cosmic String
• Knotted instantons from annihilations of monopole-instanton complex
• Strongly coupled Skyrme-Faddeev-Niemi hopfions
• Two Skyrmion Dynamics with Omega Mesons
• Gravitating gauged BPS baby Skyrmions
• Review of Rotational Symmetry Breaking in Baby Skyrme Models
• Exactly solvable gravitating perfect fluid solitons in (2+1) dimensions
• Analytic Baby Skyrmions at Finite Density
• The dynamics of aloof baby Skyrmions
• Approximate analytical solutions of the baby Skyrme model
• Near-BPS baby Skyrmions with Gaussian tails
• Creation of domain-wall Skyrmions in chiral magnets
• Spontaneous symmetry breaking in dual-core baby-Skyrmion systems
• Baby Skyrmion in two-component holographic superfluids
• Discrete Skyrmions in 2+1 and 3+1 Dimensions
• Formation of extended topological defects during symmetry breaking phase transitions in O(2) and O(3) models
• A gauged baby Skyrme model and a novel BPS bound
• Fermion scattering on topological solitons in the nonlinear $O(3)$ $\sigma$-model
• Knots in Physics
• Instantons in Lifshitz Field Theories
• Vortex Dynamics: Quantum versus Classical Regimes
• Supersymmetric extensions of K field theories
• Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model
• Knots in Condensed Matters
• Collision-Induced Decay of Metastable Baby Skyrmions
• The Skyrme model and chiral perturbation theory
• Inspecting Baby Skyrmions with Effective Metrics
• Twisted Skyrmion String
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• Interaction and collision of skyrmions in chiral antiferromagnets
• Isospinning Skyrmions
• Experimental and Theoretical Evidence for Extended Particle Models
• Exact String-like Solutions of the Gauged Nonlinear O(3) Model
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Nonlinear field theory with topological solitons: Skyrme models
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• Self-dual solitons in a Born-Infeld baby Skyrme model
• Chiral Solitons
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