Abstract
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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 317, 2004, pp. 57–65.
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Bolokhov, T.A., Bolokhov, P.A. An interpretation of the Vakulenko—Kapitansky estimate. J Math Sci 136, 3560–3563 (2006). https://doi.org/10.1007/s10958-006-0181-z
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DOI: https://doi.org/10.1007/s10958-006-0181-z