Q kink of the nonlinear O(3) {sigma} model involving an explicitly broken symmetry
Journal Article
·
· Physics of Atomic Nuclei
The (1 + 1)-dimensional nonlinear O(3) {sigma} model involving an explicitly broken symmetry is considered. Sphalerons are known to exist in this model. These sphalerons are of a topological origin and are embedded kinks of the sine-Gordon model. In the case of a compact spatial manifold S{sup 1}, sine-Gordon multikinks exist in the model. It is shown that the model admits a nonstatic generalization of the sine-Gordon kink/multikink, Q kink/multikink. Explicit expressions are obtained for the dependence of the Q kink energy and charge on the phase frequency of rotation. The Q kink is studied for stability, and expressions are obtained for the eigenfunctions and eigenfrequencies of the operator of quadratic fluctuations. It is shown that the Q kink is unstable over the entire admissible frequency range {omega} Element-Of [-1, 1]. The one-loop quantum correction to the static-kink mass is calculated, and the Q-kink zero mode is quantized. It is shown that, in a general static case, the field equations of the model are integrable in quadratures.
- OSTI ID:
- 22029903
- Journal Information:
- Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 5 Vol. 74; ISSN 1063-7788; ISSN PANUEO
- Country of Publication:
- United States
- Language:
- English
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