Geodesic
Elimination of gauge degrees of freedom in the generalized Hamiltonian formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 72-78 
S. A. Gogilidze; V. V. Sanadze; F. G. Tkebuchava. Elimination of gauge degrees of freedom in the generalized Hamiltonian formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 72-78. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a6/
@article{TMF_1989_79_1_a6,
     author = {S. A. Gogilidze and V. V. Sanadze and F. G. Tkebuchava},
     title = {Elimination of~gauge degrees of~freedom in~the generalized {Hamiltonian} formalism},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {72--78},
     year = {1989},
     volume = {79},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a6/}
}
TY  - JOUR
AU  - S. A. Gogilidze
AU  - V. V. Sanadze
AU  - F. G. Tkebuchava
TI  - Elimination of gauge degrees of freedom in the generalized Hamiltonian formalism
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 72
EP  - 78
VL  - 79
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a6/
LA  - ru
ID  - TMF_1989_79_1_a6
ER  - 
%0 Journal Article
%A S. A. Gogilidze
%A V. V. Sanadze
%A F. G. Tkebuchava
%T Elimination of gauge degrees of freedom in the generalized Hamiltonian formalism
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 72-78
%V 79
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a6/
%G ru
%F TMF_1989_79_1_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

A method is presented for constructing generators of gauge transformations in phase space for a given singular Lagrangian. Necessary and sufficient conditions on gauge functions are formulated on the basis of these generators. The results obtained are analysed with the help of concrete examples.

[1] Dirak P., Lektsii po kvantovoi mekhanike, Mir, M., 1968

[2] Sudarshan E., Mukunda N., Classical dynamics. A modern perspective, Wiley, New York, 1974, P. 78–107. | MR | Zbl

[3] Sundermeyer K., Constraind Dynamics, Lecture Notes in Phys., 169, Springer-Verlag, Berlin, 1982 | MR | Zbl

[4] Gitman D. M., Tyutin I. V., Kanonicheskoe kvantovanie polei so svyazyami, Nauka, M., 1986 | MR | Zbl

[5] Cawlay R., Phys. Rev. Lett., 42:7 (1979), 413–416 | DOI

[6] Dirac P. A. M., Phys. Rev., 114 (1959), 924–935 | DOI | MR

[7] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 | MR

[8] Sugano R., Kimura T., J. Phys. A: Math. Gen., 16 (1983), 4417–4421 | DOI

[9] Gogilidze S. A., Sanadze V. V., Surovtsev Yu. S., Tkebuchava F. G., The theories with higher derivatives and gauge transformation constraction, Communication E2-87-390, JINR, Dubna, 1987 | MR

[10] Batalin I. A., Vilkovisky G. A., Nucl. Phys., B234 (1984), 106 | DOI | MR

[11] Christ N. H., Lee T. D., Phys. Rev., D22:4 (1980), 939–958 | MR

[12] Prokhorov L. V., EChAYa, 13:5 (1982), 1094–1156 | MR