Remarks on bell-shaped lumps: stability and fermionic modes

Abstract

We consider non-topological, "bell-shaped" localized and regular solutions available in some 1+1 dimensional scalar field theories. Several properties of such solutions are studied, namely their stability and the occurence of fermion bound states in the background of a kink and a kink-anti-kink solutions of the sine-Gordon model.

8 pages, 4 figures

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• Supersymmetry and Quantum Mechanics
• New Lump-like Structures in Scalar-field Models
• Negative radiation pressure exerted on kinks
• Creating kinks from particles
• Fermions on one or fewer Kinks
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• Tachyon condensation on brane sphalerons
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Cited by in corpus (40)

• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Fermion Resonances on Multi-field Thick Branes
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Localization of 5D Elko Spinors on Minkowski Branes
• Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb's law on a pure de Sitter thick braneworld
• Thick branes with a nonminimally coupled bulk-scalar field
• Localization of Matters on Anti-de Sitter Thick Branes
• Bulk matter fields on two-field thick branes
• Equivalence between domain-walls and "noncommutative" two-sheeted spacetimes: Model-independent matter swapping between branes
• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• Localization of Bulk Matters on a Thick Anti-de Sitter Brane
• Antisymmetric Tensor Fields in Randall Sundrum Thick Branes
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models II: The Deformed Case
• Kinks bounded by fermions
• Fermions on the kink revisited
• Wobbling double sine-Gordon kinks
• Bulk Matters on a GRS-Inspired Braneworld
• Dual Spaces of Resonance In Thick $p-$Branes
• Lump-like Structures in Scalar-field Models
• Localization and quasilocalization of spin-$1/2$ fermion field on two-field thick braneworld
• Deformed brane with finite extra dimension
• Soliton models for thick branes
• Dirac field in the background of a planar defect
• Stable branches of a solution for a fermion on domain wall
• Fermion in a multi-kink-antikink soliton background, and exotic supersymmetry
• Resonance mediated by fermions in kink-antikink collisions
• Fermion transfer in the ${\varphi }^4$ model with a half-BPS preserving impurity
• Antisymmetric Tensor Fields in Codimension Two Brane-World
• Fermion bound states in geometrically deformed backgrounds
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• Fermions on wobbling kinks: normal versus quasinormal modes
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Scattering of fermionic isodoublets on the sine-Gordon kink
• Variational Approach to Excited Fermions on Kinks
• Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion
• Bound States and Particle Production by Breather-Type Background Field Configurations
• Creation of Bound Half-Fermion Pairs by Solitons
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering