Antiperiodic solitons of the Goldstone model on S^1

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 3 figures, 3 references added, some corrections made. Accepted for publication in Nonlinearity

Scientific paper

10.1088/0951-7715/17/6/015

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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