Geodesic
An interpretation of the Vakulenko–Kapitansky estimate
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 57-65 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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T. A. Bolokhov; P. A. Bolokhov. An interpretation of the Vakulenko–Kapitansky estimate. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 57-65. http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a3/

[1] L. D. Faddeev, Quantization of Solitons, Preprint IAS print-75-QS70, 1975 | MR

[2] A. J. Niemi, “Dual superconductors and SU(2) Yang–Mills”, JHEP, 0408 (2004), 035 ; arXiv: /hep-th/0403175 | DOI | MR

[3] E. Babaev, L. D. Faddeev, A. J. Niemi, Phys. Rev. B, 65 (2002), 100512 | DOI

[4] L. D. Faddeev, A. Niemi, “Aspects of Electric-Magnetic Duality in SU(2) Yang–Mills Theory”, Phys. Lett. B, 525 (2002), 195–200 | DOI | MR | Zbl

[5] A. F. Vakulenko, L. V. Kapitanskii, Dokl. Akad. Nauk. SSSR, 246 (1979), 840–842 | MR | Zbl

[6] R. S. Ward, “The interaction of two Hopf solitons”, Phys. Lett. B, 473 (2000), 291–296 | DOI | MR | Zbl

[7] J. Hietarinta, P. Salo, “Ground state in the Faddeev–Skyrme model”, Phys. Rev. D, 62, 081701 | DOI

[8] M. Miettinen, A. Niemi, Yu. Stroganov, “Aspects of duality and confining strings”, Phys. Lett. B, 474 (2000), 303–308 ; arXiv: /hep-th/9908178 | DOI | MR | Zbl

[9] R. S. Ward, Hopf Solitons on $S^{3}$ and $R^{3}$, arXiv: /hep-th/9811176