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 SIGMA, 2008, Volume 4, 019, 6 pp. (Mi sigma272)

Single-Pole Interaction of the Particle with the String

Milovan Vasilic, Marko Vojinovic

Institute of Physics, P. O. Box 57, 11001 Belgrade, Serbia

Abstract: Within the framework of generalized Papapetrou method, we derive the effective equations of motion for a string with two particles attached to its ends, along with appropriate boundary conditions. The equations of motion are the usual Nambu–Goto-like equations, while boundary conditions turn out to be equations of motion for the particles at the string ends. Various properties of those equations are discussed, and a simple example is treated in detail, exhibiting the properties of Neumann and Dirichlet boundary conditions and giving a small correction term to the law of Regge trajectories due to the nonzero particle mass.

Keywords: $P$-branes; classical theory of gravity; Regge trajectories; string theory

DOI: https://doi.org/10.3842/SIGMA.2008.019

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Full text: http://emis.mi.ras.ru/.../019
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ArXiv: 0802.1655
MSC: 83C10; 83C55; 81T30; 70S10
Received: October 24, 2007; in final form January 20, 2008; Published online February 12, 2008
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Citation: Milovan Vasilic, Marko Vojinovic, “Single-Pole Interaction of the Particle with the String”, SIGMA, 4 (2008), 019, 6 pp.

Citation in format AMSBIB
\Bibitem{VasVoj08} \by Milovan Vasilic, Marko Vojinovic \paper Single-Pole Interaction of the Particle with the String \jour SIGMA \yr 2008 \vol 4 \papernumber 019 \totalpages 6 \mathnet{http://mi.mathnet.ru/sigma272} \crossref{https://doi.org/10.3842/SIGMA.2008.019} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2393308} \zmath{https://zbmath.org/?q=an:1136.83309} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000267267800019} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84912146326}