The Goldstone model static solutions on S^1

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 14 pages, 3 figures

Scientific paper

10.1088/0951-7715/12/4/307

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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