Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
Spectral Walls in Soliton Collisions
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
During defect-antidefect scattering, bound modes frequently disappear into the continuous spectrum before the defects themselves collide. This leads to a structural, nonperturbative change in the spectrum of small excitations. Sometimes the effect can be seen as a hard wall from which the defect can bounce off. We show the existence of these spectral walls and study their properties in the $\phi^4$ model with BPS preserving impurity, where the spectral wall phenomenon can be isolated because the static force between the antikink and the impurity vanishes. We conclude that such spectral walls should surround all solitons possessing internal modes.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Impurities preserving half the BPS sectors induce compact or half-compact stable vacuumless kinks in scalar models, which cannot form in impurity-free canonical cases.
citing papers explorer
-
Krakow Lectures on Scalar Quantum Solitons
Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
-
Compact structures in impurity-doped vacuumless systems
Impurities preserving half the BPS sectors induce compact or half-compact stable vacuumless kinks in scalar models, which cannot form in impurity-free canonical cases.