Rotational symmetry breaking in baby Skyrme models
arXiv:0710.3939 · doi:10.1088/0951-7715/21/3/002
Abstract
We consider multisolitons with charges 1 =< B =< 5 in the baby Skyrme model for the one-parametric family of potentials U=μ^2 (1-ϕ_3)^s with 0<s =< 4. This class of potentials is a generalization of the `old' (s=1) and `holomorphic' (s=4) baby Skyrme models. We find that for charge one, stable solutions exist for every value of s and they are rotationally-symmetric. For higher charges, stable solutions exist only below s \approx 2. In the charge-two sector the stable solutions are always rotationally-symmetric and ring-like. For charge three and above, rotational symmetry is exhibited only in the small s region; above a certain critical value of s, this symmetry is broken and a strong repulsion between the constituent one-Skyrmions becomes apparent. We also compute the spatial energy distributions of these solutions.
arXiv commentLaTeX, 14 pages, 8 figures
References in corpus (17)
- Rational Maps, Monopoles and Skyrmions
- Skyrme Crystal In A Two-Dimensional Electron Gas
- Multisolitons in a Two-dimensional Skyrme Model
- Dynamics of Baby Skyrmions
- The baby Skyrme models and their multi-skyrmions
- Microcanonical mean-field thermodynamics of self-gravitating and rotating systems
- Shapes of the Proton
- A Skyrme lattice with hexagonal symmetry
- Quantising the B=2 and B=3 Skyrmion systems
- Densities, Parton Distributions, and Measuring the Non-Spherical Shape of the Nucleon
- Baby Skyrme models for a class of potentials
- Simulated Annealing for Topological Solitons
- S^3 Skyrmions and the Rational Map Ansatz
- Hexagonal Structure of Baby Skyrmion Lattices
- Spontaneous Breaking of Rotational Symmetry in Rotating Solitons - a Toy Model of Excited Nucleons with High Angular Momentum
- Scattering of periodic solitons
- Lump Scattering on a Torus
Cited by in corpus (30)
- Investigation of restricted baby Skyrme models
- Extended Supersymmetry and BPS solutions in baby Skyrme models
- Localization of massive fermions on the baby-skyrmion branes in 6 dimensions
- Compact baby skyrmions
- Easy plane baby skyrmions
- Loosening up the Skyrme model
- The gauged BPS baby Skyrme model
- Isospinning baby Skyrmion solutions
- Baby Skyrmion chains
- Gauged Baby Skyrme Model with Chern-Simons term
- Magnetothermodynamics of BPS baby skyrmions
- Gauged Aloof Baby Skyrme Model
- Isorotating Baby Skyrmions
- Vortices in the extended Skyrme-Faddeev model
- Baby Skyrme models without a potential term
- Potentials and the vortex solutions in the Skyrme-Faddeev model
- Baby Skyrmion crystals
- Gauged BPS baby Skyrmions with quantised magnetic flux
- Lifshitz field theories with SDiff symmetries
- Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential
- Strongly coupled Skyrme-Faddeev-Niemi hopfions
- The vector BPS baby Skyrme model
- Baby Skyrmions stabilized by canonical quantization
- Non-axisymmetric baby-skyrmion branes
- Exactly solvable gravitating perfect fluid solitons in (2+1) dimensions
- Review of Rotational Symmetry Breaking in Baby Skyrme Models
- Spontaneous symmetry breaking in dual-core baby-Skyrmion systems
- Boundary charges and integral identities for solitons in -dimensional field theories
- Baby skyrmion crystals stabilized by vector mesons
- Some vortex solutions in the extended Skyrme-Faddeev model