Q kink of the nonlinear O(3) σ model involving an explicitly broken symmetry

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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 S1, 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.

Original languageEnglish
Pages (from-to)740-754
Number of pages15
JournalPhysics of Atomic Nuclei
Volume74
Issue number5
DOIs
Publication statusPublished - 1 May 2011

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broken symmetry
quadratures
eigenvectors
frequency ranges
operators
energy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics

Cite this

Q kink of the nonlinear O(3) σ model involving an explicitly broken symmetry. / Loginov, Yu.

In: Physics of Atomic Nuclei, Vol. 74, No. 5, 01.05.2011, p. 740-754.

Research output: Contribution to journalArticle

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