Antiperiodic solitons of the Goldstone model on S^1
C. G. Doudoulakis
TL;DR
This paper classifies all static antiperiodic solutions of the Goldstone model on a circle, identifying stable solitons and analyzing their stability using elliptic and trigonometric functions.
Contribution
It provides a comprehensive set of static solutions for the Goldstone model with antiperiodic boundary conditions, including stability analysis, which was not previously detailed.
Findings
Classified all static solutions with antiperiodic boundary conditions.
Identified classically stable quasi-topological solitons.
Expressed solutions using elliptic and trigonometric functions.
Abstract
Our purpose is to present all static solutions of the Goldstone model on a circle in 1+1 dimensions with an antiperiodicity condition imposed on the scalar fields. Jacobi elliptic and standard trigonometric functions are used to express the solutions found and stability analysis of the latter is what follows. Classically stable quasi-topological solitons are identified.
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