Remarks on bell-shaped lumps: stability and fermionic modes
Y. Brihaye, T. Delsate
TL;DR
This paper investigates the stability of bell-shaped localized solutions in 1+1 dimensional scalar field theories and explores fermion bound states in these backgrounds, focusing on sine-Gordon model configurations.
Contribution
It provides new insights into the stability properties of bell-shaped solutions and analyzes fermionic modes in kink and kink-anti-kink backgrounds.
Findings
Bell-shaped solutions exhibit specific stability characteristics.
Fermion bound states are identified in kink backgrounds.
Results enhance understanding of scalar field configurations and fermionic interactions.
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.
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