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TMF, 1989, Volume 81, Number 1, Pages 94–106 (Mi tmf5269)  

Hamiltonian dynamics of finite-gap configurations of relativistic strings

E. B. Berdnikov, G. P. Pron'ko


Abstract: Classical dynamics of the Nambu–Goto string is investigated by means of the auxiliary spectral problem method. Lorentz invariant spectral data are derived and the action–angle variables are constructed using these data. The Poisson bracket for the components of vectors determining string configurations on finite-gap orbits is calculated and the expression for the bracket is brought to an explicitely covariant form. Geometrical interpretation of the topological charge of the string is suggested.

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English version:
Theoretical and Mathematical Physics, 1989, 81:1, 1078–1087

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Received: 18.04.1988

Citation: E. B. Berdnikov, G. P. Pron'ko, “Hamiltonian dynamics of finite-gap configurations of relativistic strings”, TMF, 81:1 (1989), 94–106; Theoret. and Math. Phys., 81:1 (1989), 1078–1087

Citation in format AMSBIB
\Bibitem{BerPro89}
\by E.~B.~Berdnikov, G.~P.~Pron'ko
\paper Hamiltonian dynamics of~finite-gap configurations of~relativistic strings
\jour TMF
\yr 1989
\vol 81
\issue 1
\pages 94--106
\mathnet{http://mi.mathnet.ru/tmf5269}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1025313}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 81
\issue 1
\pages 1078--1087
\crossref{https://doi.org/10.1007/BF01015512}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1989DE07500009}


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