Perturbed States of a Rotating Relativistic String
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 2, pp. 256-268 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We investigate arbitrary small perturbations of the uniform rotation of a rectilinear relativistic string with massive ends. Two classes of such perturbations with different spectra of eigenfrequencies have the form of stationary waves and correspond to string oscillations in the rotation plane and in the orthogonal direction. These states are represented by the Fourier series used to quantize string excitations in the linear neighborhood of the classical rotation. These string oscillations can be used to describe daughter Regge trajectories in the framework of the considered model.
Keywords: relativistic string with massive ends
Mots-clés : perturbations of rotational motion.
@article{TMF_2004_140_2_a4,
     author = {G. S. Sharov},
     title = {Perturbed {States} of {a~Rotating} {Relativistic} {String}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {256--268},
     year = {2004},
     volume = {140},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_140_2_a4/}
}
TY  - JOUR
AU  - G. S. Sharov
TI  - Perturbed States of a Rotating Relativistic String
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2004
SP  - 256
EP  - 268
VL  - 140
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2004_140_2_a4/
LA  - ru
ID  - TMF_2004_140_2_a4
ER  - 
%0 Journal Article
%A G. S. Sharov
%T Perturbed States of a Rotating Relativistic String
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2004
%P 256-268
%V 140
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2004_140_2_a4/
%G ru
%F TMF_2004_140_2_a4
G. S. Sharov. Perturbed States of a Rotating Relativistic String. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 2, pp. 256-268. http://geodesic.mathdoc.fr/item/TMF_2004_140_2_a4/

[1] A. Chodos, C. B. Thorn, Nucl. Phys. B, 72:3 (1974), 509 ; Б. М. Барбашов, В. В. Нестеренко, ТМФ, 31:2 (1977), 291 | DOI

[2] B. M. Barbashov, V. V. Nesterenko, Model relyativistskoi struny v fizike adronov, Energoatomizdat, M., 1987

[3] I. Yu. Kobzarev, B. V. Martemyanov, M. G. Schepkin, UFN, 162:4 (1992), 1 | DOI

[4] L. D. Solovev, TMF, 116:2 (1998), 225 ; L. D. Soloviev, Phys. Rev. D, 61 (2000), 015009 ; E-print hep-ph/9907486 | DOI | DOI | MR

[5] G. S. Sharov, YaF, 62:10 (1999), 1831

[6] A. Inopin, G. S. Sharov, Phys. Rev. D, 63:5 (2001), 054023 | DOI

[7] M. Ida, Prog. Theor. Phys., 59:5 (1978), 1661 | DOI | MR

[8] D. LaCourse, M. G. Olsson, Phys. Rev. D, 39:9 (1989), 2751 | DOI

[9] V. V. Nesterenko, Z. Phys. C, 47:1 (1990), 111 | DOI

[10] T. J. Allen, M. G. Olsson, S. Veseli, Phys. Rev. D, 59 (1999), 094011 ; Phys. Rev. D, 60 (1999), 074026 ; E-print hep-ph/9903222 | DOI | DOI

[11] A. M. Polyakov, Phys. Lett. B, 103:2 (1981), 207 | DOI | MR

[12] G. S. Sharov, Phys. Rev. D, 62:9 (2000), 094015 ; E-print hep-ph/0004003 | DOI

[13] G. S. Sharov, TMF, 107:1 (1996), 86 | DOI | MR | Zbl

[14] V. P. Petrov, G. S. Sharov, TMF, 109:2 (1996), 187 | DOI | MR | Zbl

[15] M. Grin, Dzh. Shvarts, E. Vitten, Teoriya superstrun, T. 1, Mir, M., 1990 | MR