Fermionic spectral walls in kink collisions

Abstract

We show that a spectral wall, i.e., an obstacle in the dynamics of a bosonic soliton, which arises due to the transition of a normal mode into the continuum spectrum, exists after coupling the original bosonic model to fermions. This spectral wall can be experienced if the boson or fermion field is in an excited state. Furthermore, while passing through a spectral wall, an incoming kink-fermion bound state can be separated into purely bosonic kink, which continues to move to spatial infinity and a fermionic cloud that spreads in the region before the wall.

References in corpus (35)

• Kink-antikink collisions in the phi^6 model
• Chiral Gauge Theory for Graphene
• Spectral Walls in Soliton Collisions
• Resonant kink-antikink scattering through quasinormal modes
• A dynamical $\alpha$-cluster model of ${}^{16}$O
• Vibrational quantisation of the B=7 Skyrmion
• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Reflection, transmutation, annihilation and resonance in two-component kink collisions
• Manifestly Finite Derivation of the Quantum Kink Mass
• BPS soliton-impurity models and supersymmetry
• Fermions on Colliding Branes
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Fermions on one or fewer Kinks
• Spectral walls in multifield kink dynamics
• Multikink scattering in the ${\varphi }^6$ model revisited
• Kinks bounded by fermions
• Fractal structure of the soliton scattering for the graphene superlattice equation
• Fermions on the kink revisited
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Particle transfer in braneworld collisions
• Kink-antikink collisions in a weakly interacting ${\varphi }^4$ model
• Kink dynamics in the MSTB Model
• Asymmetric kink scattering in a two-component scalar field theory model
• Spectral Walls at One Loop
• Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
• Sphalerons and resonance phenomenon in kink-antikink collisions
• Coupled fermion-kink system in Jackiw-Rebbi model
• Superfield formulation of central charge anomalies in two-dimensional supersymmetric theories with solitons
• Fermion transfer in the ${\varphi }^4$ model with a half-BPS preserving impurity
• Resonance mediated by fermions in kink-antikink collisions
• Spectral walls in antikink-kink scattering in the ${\varphi }^6$ model
• The $B=5$ Skyrmion as a two-cluster system
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• Scattering of kinks in the $B{\phi }^4$ model
• Kink-Antikink Interaction Forces and Bound States in a ${\varphi }^4$ Model with Quadratic and Quartic dispersion

Cited by in corpus (11)

• Kink scattering in the presence of geometric constrictions
• Maxwell-scalar system and scalar field with impurity: novel approach to find nontrivial solutions
• (Anti-)Stokes Scattering on Kinks
• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Scalar fields with impurities in arbitrary dimensions: first-order framework and exact solutions
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Generalized scalar field models in the presence of impurities
• Compact structures in impurity-doped vacuumless systems
• Vacuum state perturbed by an oscillon: composite configurations in ${\varphi }^4$ model
• Scattering between orthogonally wobbling kinks
• The Possibility of Tachyons as Soliton Solutions in 3+1 Dimensions via k-field Models