Defect structures in sine-Gordon-like models
arXiv:hep-th/0411197 · doi:10.1016/j.physd.2005.07.004
Abstract
We investigate several models described by real scalar fields, searching for topological defects. Some models are described by a single field, and support one or two topological sectors, and others are two-field models, which support several topological sectors. Almost all the defect structures that we find are stable and finite energy solutions of first-order differential equations that solve the corresponding equations of motion. In particular, for the double sine-Gordon model we show how to find small and large BPS solutions as deformations of the BPS solution of the model. And also, for most of the two field models we find the corresponding integrating factors, which lead to the complete set of BPS solutions, nicely unveiling how they bifurcate among the several topological sectors.
arXiv commentRevTex, 18 pages, 17 figures; Version to appear in Physica D
References in corpus (35)
- Brane Dynamics and Gauge Theory
- Magnetic structures and reorientation transitions in noncentrosymmetric uniaxial antiferromagnets
- Lectures on Superstring and M Theory Dualities
- Solitons in systems of coupled scalar fields
- Non-integrable aspects of the multi-frequency Sine-Gordon model
- A Bogomol`nyi equation for intersecting domain walls
- Deformed Defects
- Bags, junctions, and networks of BPS and non-BPS defects
- Domain defects in systems of two real scalar fields
- An Exact Solution of BPS Domain Wall Junction
- Tiling the plane without supersymmetry
- Tiling with almost-BPS states
- New results for deformed defects
- Kinks Inside Supersymmetric Domain Ribbons
- A Phase Front Instability in Periodically Forced Oscillatory Systems
- Multi-Phase Patterns in Periodically Forced Oscillatory Systems
- Semiclassical Particle Spectrum of Double Sine-Gordon Model
- Entrapment of a Network of Domain Walls
- Topological Twistons in Crystalline Polyethylene
- BPS Walls and Junctions in SUSY Nonlinear Sigma Models
- Calculating the tension of domain wall junctions and vortices in generalized Wess-Zumino models
- Domain Ribbons Inside Domain Walls at Finite Temperature
- Domain walls in supersymmetric QCD: The taming of the zoo
- N=2 Supersymmetric Kinks and real algebraic curves
- Topological Defects and the Trial Orbit Method
- Nested Domain Defects
- Soliton model for proton conductivity in Langmuir films
- Complete factorization of equations of motion in Wess-Zumino theory
- Network of Domain Walls on Soliton Stars
- BPS Domain Walls in Models with Flat Directions
- Complete factorization of equations of motion in supersymmetric field theories
- Exact Topological Twistons in Crystalline Polyethylene
- Soliton Decay in Coupled System of Scalar Fields
- BPS Saturated Vacua Interpolation along One Compact Dimension
- Exploring the vicinity of the Bogomol'nyi-Prasad-Sommerfield bound
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- Classical behavior of deformed sine-Gordon models
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- Kinklike structures in models of the Dirac-Born-Infeld type
- New family of sine-Gordon models
- Constructing networks of defects with scalar fields
- Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory
- Construction of topological defect networks with complex scalar fields
- Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model
- New models for asymmetric kinks and branes
- Configurational entropy of generalized sine-Gordon-type models
- Analytical short- and long-range kink-like structures in scalar field models with polynomial interactions
- Localized structures in three-field models: geometrically constrained configurations and the first-order framework
- Kinklike structures in an arcsin real scalar dynamics