The Goldstone model static solutions on S^1
Y. Brihaye, T. N. Tomaras
TL;DR
This paper systematically analyzes static solutions of the Goldstone model in 1+1 dimensions with periodic boundary conditions, classifying stable quasi-topological solitons using trigonometric and elliptic functions.
Contribution
It provides a comprehensive classification of static solutions and their stability, including a complete list of classical stable quasi-topological solitons.
Findings
Solutions expressed via trigonometric and Jacobi elliptic functions.
Complete stability analysis of solutions.
Identification of all stable quasi-topological solitons.
Abstract
We study in a systematic way all static solutions of the Goldstone model in 1+1 dimension with a periodicity condition on the spatial coordinate. The solutions are presented in terms of the standard trigonometric functions and of Jacobi elliptic functions. Their stability analysis is carried out, and the complete list of classical stable quasi-topological solitons is given.
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