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TMF, 1983, Volume 56, Number 2, Pages 192–205 (Mi tmf2204)  

This article is cited in 14 scientific papers (total in 14 papers)

Quantum theory of a restricted class of motions of a relativistic string

G. P. Pron'ko, A. V. Razumov


Abstract: A model obtained by freezing an infinite number of degrees of freedom of a relativistic string is considered. The system is quantized and it is shown that the model has a rich spectrum of states and nonlinear Regge trajectories. Relativistic invariance of the obtained quantum system is proved. A comparison is made with the covariant method of quantization of a relativistic string.

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English version:
Theoretical and Mathematical Physics, 1983, 56:2, 760–770

Bibliographic databases:

Received: 21.09.1982

Citation: G. P. Pron'ko, A. V. Razumov, “Quantum theory of a restricted class of motions of a relativistic string”, TMF, 56:2 (1983), 192–205; Theoret. and Math. Phys., 56:2 (1983), 760–770

Citation in format AMSBIB
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\by G.~P.~Pron'ko, A.~V.~Razumov
\paper Quantum theory of a~restricted class of motions of a~relativistic string
\jour TMF
\yr 1983
\vol 56
\issue 2
\pages 192--205
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\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 56
\issue 2
\pages 760--770
\crossref{https://doi.org/10.1007/BF01016817}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. V. Klimenko, V. N. Kochin, M. S. Plyushchai, G. P. Pron'ko, A. V. Razumov, A. V. Samarin, “Baryon string model. II. Special solutions of classical three-string equations of motion”, Theoret. and Math. Phys., 64:2 (1985), 810–819  mathnet  crossref  mathscinet  isi
    2. V. I. Borodulin, O. L. Zorin, G. P. Pron'ko, A. V. Razumov, L. D. Solov'ev, “Single-mode approximation in the quantum theory of a relativistic string. String field”, Theoret. and Math. Phys., 65:1 (1985), 1050–1065  mathnet  crossref  mathscinet  isi
    3. M. S. Plyushchai, G. P. Pron'ko, A. V. Razumov, “Baryon string model III. Quantum theory of single-mode configurations of a three-string”, Theoret. and Math. Phys., 67:3 (1986), 576–585  mathnet  crossref  mathscinet  isi
    4. E. B. Berdnikov, G. P. Pron'ko, “Hamiltonian dynamics of finite-gap configurations of relativistic strings”, Theoret. and Math. Phys., 81:1 (1989), 1078–1087  mathnet  crossref  mathscinet  isi
    5. I. N. Nikitin, “Special types of string motions with anomaly-free quantization”, Theoret. and Math. Phys., 109:2 (1996), 1400–1409  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. L. D. Solov'ev, “A relativistic quark model of mesons”, Theoret. and Math. Phys., 116:2 (1998), 914–932  mathnet  crossref  crossref  isi
    7. Klimenko, SV, “Exotic solutions in string theory”, Nuovo Cimento Della Societa Italiana Di Fisica A-Nuclei Particles and Fields, 111:12 (1998), 1431  isi
    8. Burkin, VV, “Visualization and animation of dynamics of relativistic strings”, Programming and Computer Software, 24:6 (1998), 320  isi
    9. L. D. Solov'ev, “Glueballs in the string quark model”, Theoret. and Math. Phys., 126:2 (2001), 203–211  mathnet  crossref  crossref  zmath  isi
    10. A. A. Andrianov, D. Espriu, “Strings and Pions”, Theoret. and Math. Phys., 135:3 (2003), 745–756  mathnet  crossref  crossref  mathscinet  zmath  isi
    11. L. D. Solov'ev, “Multimode Relativistic String: Classical Solutions and Quantization”, Theoret. and Math. Phys., 136:3 (2003), 1225–1250  mathnet  crossref  crossref  mathscinet  isi
    12. Nikitin, I, “Structure of singularities on the world sheets of relativistic strings”, Physics of Particles and Nuclei, 34 (2003), S54  isi
    13. Andrianov, AA, “Chiral dynamics from the hadronic string: General formalism”, International Journal of Modern Physics A, 21:16 (2006), 3337  crossref  isi
    14. JETP Letters, 88:3 (2008), 151–156  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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