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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 3, Pages 380–409
DOI: https://doi.org/10.4213/tmf235 (Mi tmf235) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multimode Relativistic String: Classical Solutions and Quantization

L. D. Solov'ev

Institute for High Energy Physics
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DOI: https://doi.org/10.4213/tmf235
Abstract: We find all independent classical solutions for the three-mode Nambu–Goto string. We investigate the geometry of the closed curves obtained. Canonical quantization is performed for a part of the solutions obtained. We consider the spectrum of the quantum states obtained. It is consistent with the experimental masses and quantum numbers of mesons corresponding to glueballs. The leading Regge trajectory of the obtained states is consistent with the available data on the Pomeron trajectory.
Keywords: relativistic string, relativistic quantization, glueball spectrum.
Received: 12.11.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 3, Pages 1225–1250
DOI: https://doi.org/10.1023/A:1025643130647
Bibliographic databases:
Language: Russian
Citation: L. D. Solov'ev, “Multimode Relativistic String: Classical Solutions and Quantization”, TMF, 136:3 (2003), 380–409; Theoret. and Math. Phys., 136:3 (2003), 1225–1250
Citation in format AMSBIB
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\by L.~D.~Solov'ev
\paper Multimode Relativistic String: Classical Solutions and Quantization
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\issue 3
\pages 380--409
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\crossref{https://doi.org/10.4213/tmf235}
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\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 136
\issue 3
\pages 1225--1250
\crossref{https://doi.org/10.1023/A:1025643130647}
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  • https://doi.org/10.4213/tmf235
  • https://www.mathnet.ru/eng/tmf/v136/i3/p380
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:58
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