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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 226, Pages 232–239 (Mi tm542)  
Interacting Knots

A. J. Niemi

Uppsala University
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Abstract: We study geometrical aspects of the interaction of knotlike solitons in the Faddeev model. We argue that the splitting and joining of two solitons is a local process governed by a four-point vertex. The interaction preserves the linking number but in general both the twist and the writhe can change, which suggests that supercoiled states will be present.
Received in April 1999
Bibliographic databases:
UDC: 530.1
Language: English
Citation: A. J. Niemi, “Interacting Knots”, Mathematical physics. Problems of quantum field theory, Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev, Trudy Mat. Inst. Steklova, 226, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 232–239; Proc. Steklov Inst. Math., 226 (1999), 217–224
Citation in format AMSBIB
\Bibitem{Nie99}
\by A.~J.~Niemi
\paper Interacting Knots
\inbook Mathematical physics. Problems of quantum field theory
\bookinfo Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 226
\pages 232--239
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1782566}
\zmath{https://zbmath.org/?q=an:0981.81055}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 226
\pages 217--224
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