An interpretation of the Vakulenko—Kapitansky estimate
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Introducing a concept of twisted tubes, we provide a speculative interpretation of exponent 3/4 in the Vakulenko—Kapitansky estimate for the Faddeev—Skyrme model. This allows us to make an assumption about the domain of applicability of the fit derived from the VK estimate. We propose an example of a sequence of knotted configurations which may be utilized in construction of static solutions with high energies. Bibliography: 9 titles.
KeywordsStatic Solution Skyrme Model Speculative Interpretation Twisted Tube
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- 1.L. D. Faddeev, “Quantization of solitons,” Preprint IAS, print-75-QS70 (1975).Google Scholar
- 2.A. J. Niemi, “Dual superconductors and SU(2) Yang—Mills,” JHEP (2004) 035; hep-th/0403175.Google Scholar
- 3.E. Babaev, L. D. Faddeev, and A. J. Niemi, Phys. Rev., B65 (2002).Google Scholar
- 5.A. F. Vakulenko and L. V. Kapitansky, Dokl. Akad. Nauk SSSR, 248, 840–842 (1979).Google Scholar
- 6.R. S. Ward, “The interaction of two Hopf solitons,” Phys. Lett., B473, 291–296 (2000).Google Scholar
- 7.J. Hietarinta and P. Salo, “Ground state in the Faddeev—Skyrme model,” Phys. Rev., D62.Google Scholar
- 9.R. S. Ward, “Hopf solitons on S 3 and R 3,” DTP-98/55; hep-th/9811176.Google Scholar