Geodesic
Multimode Relativistic String: Classical Solutions and Quantization
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 380-409

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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, glueball spectrum.
Mots-clés : relativistic quantization 
@article{TMF_2003_136_3_a2,
     author = {L. D. Solov'ev},
     title = {Multimode {Relativistic} {String:} {Classical} {Solutions} and {Quantization}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {380--409},
     publisher = {mathdoc},
     volume = {136},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a2/}
}
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L. D. Solov'ev. Multimode Relativistic String: Classical Solutions and Quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 380-409. http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a2/