Abstract
The (1 + 1)-dimensional nonlinear O(3) σ 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 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 ω ∈ [−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.
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Original Russian Text © A.Yu. Loginov, 2011, published in Yadernaya Fizika, 2011, Vol. 74, No. 5, pp. 766–780.
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Loginov, A.Y. Q kink of the nonlinear O(3) σ model involving an explicitly broken symmetry. Phys. Atom. Nuclei 74, 740–754 (2011). https://doi.org/10.1134/S1063778811040107
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DOI: https://doi.org/10.1134/S1063778811040107