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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 2, Pages 179–195
DOI: https://doi.org/10.4213/tmf423
(Mi tmf423)
 

This article is cited in 13 scientific papers (total in 13 papers)

Lagrangian model of a massless particle on spacelike curves

A. P. Nersesyanab

a Yerevan State University
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Abstract: We consider a model of a massless particle in a $D$-dimensional space with the Lagrangian proportional to the $N$th extrinsic curvature of the world line. We present the Hamiltonian formulation of the system and show that its trajectories are spacelike curves satisfying the conditions $k_{N+a}=k_{N-a}$ and $k_{2N}=0$, $a=1,\dots,N-1$, where $N\leq\bigl[(D-2)/2\bigr]$. The first $N$ curvatures take arbitrary values, which is a manifestation of $N+1$ gauge degrees of freedom; the corresponding gauge symmetry forms an algebra of the $W$ type. This model describes $D$-dimensional massless particles, whose helicity matrix has $N$ coinciding nonzero weights, while the remaining $\bigl[(D-2)/2\bigr]-N$ weights are zero. We show that the model can be extended to spaces with nonzero constant curvature. It is the only system with the Lagrangian dependent on the world-line extrinsic curvatures that yields irreducible representations of the Poincaré group.
Received: 28.07.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 2, Pages 147–160
DOI: https://doi.org/10.1023/A:1005280708730
Bibliographic databases:
Language: Russian
Citation: A. P. Nersesyan, “Lagrangian model of a massless particle on spacelike curves”, TMF, 126:2 (2001), 179–195; Theoret. and Math. Phys., 126:2 (2001), 147–160
Citation in format AMSBIB
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\by A.~P.~Nersesyan
\paper Lagrangian model of a massless particle on spacelike curves
\jour TMF
\yr 2001
\vol 126
\issue 2
\pages 179--195
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\crossref{https://doi.org/10.4213/tmf423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1863079}
\zmath{https://zbmath.org/?q=an:1017.70013}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 126
\issue 2
\pages 147--160
\crossref{https://doi.org/10.1023/A:1005280708730}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170245600001}
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  • https://www.mathnet.ru/eng/tmf423
  • https://doi.org/10.4213/tmf423
  • https://www.mathnet.ru/eng/tmf/v126/i2/p179
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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