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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 317, Pages 57–65 (Mi znsl714)  
An interpretation of the Vakulenko–Kapitansky estimate

T. A. Bolokhov, P. A. Bolokhov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: Introducing a concept of twisted tubes we provide a speculative interpretation of the exponent $3/4$ in the Vakulenko–Kapitansky estimate for the Faddeev–Skyrme model. This allows one to make an assumption about the area of applicability of the fit derived from VK estimate. We propose an example of sequence of knotted configurations which may be utilized in construction of the static solutions with high energies.
Received: 20.12.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 1, Pages 3560–3563
DOI: https://doi.org/10.1007/s10958-006-0181-z
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: T. A. Bolokhov, P. A. Bolokhov, “An interpretation of the Vakulenko–Kapitansky estimate”, Questions of quantum field theory and statistical physics. Part 18, Zap. Nauchn. Sem. POMI, 317, POMI, St. Petersburg, 2004, 57–65; J. Math. Sci. (N. Y.), 136:1 (2006), 3560–3563
Citation in format AMSBIB
\Bibitem{BolBol04}
\by T.~A.~Bolokhov, P.~A.~Bolokhov
\paper An interpretation of the Vakulenko--Kapitansky estimate
\inbook Questions of quantum field theory and statistical physics. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 317
\pages 57--65
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl714}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120827}
\zmath{https://zbmath.org/?q=an:1080.35099}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 1
\pages 3560--3563
\crossref{https://doi.org/10.1007/s10958-006-0181-z}
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