Spectral walls in multifield kink dynamics

Abstract

We show that spectral walls are common phenomena in the dynamics of kinks in (1+1) dimensions. They occur in models based on two or more scalar fields with a nonempty Bogomol'nyi-Prasam-Sommerfield (BPS) sector, hosting two zero modes, where they are one of the main factors governing the soliton dynamics. We also show that spectral walls appear as singularities of the dynamical vibrational moduli space.

arXiv commentimproved, references added

References in corpus (36)

• Interacting Dark Matter and Dark Energy
• Solitons in systems of coupled scalar fields
• A Bogomol`nyi equation for intersecting domain walls
• Degenerate Domain Wall Solutions in Supersymmetric Theories
• A Field Theory Model for Dark Matter and Dark Energy in Interaction
• Soliton Stability in Systems of Two Real Scalar Fields
• Spectral Walls in Soliton Collisions
• Vortices and Impurities
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Vibrational quantisation of the B=7 Skyrmion
• Kinks Inside Supersymmetric Domain Ribbons
• Reflection, transmutation, annihilation and resonance in two-component kink collisions
• Kink Moduli Spaces -- Collective Coordinates Reconsidered
• Solvable self-dual impurity models
• The ${\varphi }^4$ model with the BPS preserving defect
• Geometrically Constrained Kinklike Configurations
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Two-scalar-field model for the interaction of dark energy and dark matter
• Non-topological kink scattering in a two-component scalar field theory model
• Kink-antikink scattering in the ${\varphi }^4$ model without static intersoliton forces
• Domain walls in three-field models
• Vibrational modes of Skyrmions
• Vortices and magnetic impurities
• Kink-antikink collisions in a weakly interacting ${\varphi }^4$ model
• Complete factorization of equations of motion in supersymmetric field theories
• Kinklike structures in scalar field theories: from one-field to two-field models
• Self-dual sectors for scalar field theories in (1 + 1) dimensions
• Iterated ${\varphi }^4$ Kinks
• Normal Ordering Normal Modes
• Well-Defined Quantum Soliton Masses Without Supersymmetry
• Magnetic Impurities, Integrable Vortices and the Toda Equation
• Building analytical three-field cosmological models
• Quantum soliton scattering manifolds
• Some Comments on BPS systems
• Interacting kinks and meson mixing
• BPS states for scalar field theories based on ${\mathfrak{g}}_2$ and $\mathfrak{su}(4)$ algebras

Cited by in corpus (28)

• Relativistic Moduli Space for Kink Collisions
• Multikink scattering in the ${\varphi }^6$ model revisited
• Fermionic spectral walls in kink collisions
• Spectral Walls at One Loop
• Sphalerons and resonance phenomenon in kink-antikink collisions
• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
• Kink scattering in a generalized Wess-Zumino model
• Spectral walls in antikink-kink scattering in the ${\varphi }^6$ model
• Kink scattering in the presence of geometric constrictions
• Impurity-doped stable domain walls in spherically symmetric spacetimes
• Spectral wall in collisions of excited Abelian Higgs vortices
• Geometrically constrained multifield models with BNRT solutions
• Maxwell-scalar system and scalar field with impurity: novel approach to find nontrivial solutions
• Scattering of the asymmetric ${\varphi }^6$ kinks from a $\mathcal{P}\mathcal{T}$-symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons
• Highly-enhanced propagation of long-range kinks in heterogeneous media
• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Kinks in generalized scalar field models and their scattering properties
• Scalar fields with impurities in arbitrary dimensions: first-order framework and exact solutions
• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Localized structures in three-field models: geometrically constrained configurations and the first-order framework
• Generalized scalar field models in the presence of impurities
• Removing Tadpoles in a Soliton Sector
• Geometrically constrained multi-kink configurations in generalized impurity-doped field theories
• Vacuum state perturbed by an oscillon: composite configurations in ${\varphi }^4$ model
• Compact structures in impurity-doped vacuumless systems
• Localized structures in two-field systems: exact solutions in the presence of Lorentz symmetry breaking and explicit connection with geometric constraints
• Scattering between orthogonally wobbling kinks