Geodesic
The Feynman integral for singular Lagrangians
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 1, pp. 3-18 
L. D. Faddeev. The Feynman integral for singular Lagrangians. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 1, pp. 3-18. http://geodesic.mathdoc.fr/item/TMF_1969_1_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A generalization is obtained for the continual Feynman integral, adapted for the quantization of a mechanical system describable by a singular Lagrangian. As an example, the quantization of the Yang–Mills field is considered.

[1] R. Feynman, Rev. Mod. Phys., 20 (1948), 367 | DOI | MR

[2] P. A. M. Dirac, Can. J. Math., 2 (1950), 129 | DOI | MR | Zbl

[3] P. A. M. Dirac, Proc. Roy. Soc., A246 (1958), 326 | DOI | MR | Zbl

[4] P. A. M. Dirac, Proc. Roy. Soc., A246 (1958), 333 | DOI | MR | Zbl

[5] P. A. M. Dirac, Phys. Rev., 114 (1959), 924 | DOI | MR | Zbl

[6] P. A. M. Dirac, Doklad na simpoziume «Sovremennaya fizika» (Triest, iyun 1968)

[7] J. Klauder, Tezisy 5 Mezhdunarodnoi konferentsii po gravitatsii i otnositelnosti, Tbilisi, 1968 | MR

[8] A. Likhnerovich, Teoriya svyaznostei v tselom i gruppy golonomii, IL, 1960

[9] R. Feynman, Phys. Rev., 84 (1951), 108 | DOI | MR | Zbl

[10] W. Tobocman, Nuovo Cim., 3 (1956), 1213 | DOI | MR | Zbl

[11] C. Garrod, Rev. Mod. Phys., 38 (1966), 483 | DOI | MR | Zbl

[12] L. D. Landau, E. M. Lifshits, Mekhanika, Fizmatgiz, 1958 | MR | Zbl

[13] P. Bergmann, Rev. Mod. Phys., 33 (1961), 510 | DOI | MR | Zbl

[14] P. Bergmann, I. Goldberg, Phys. Rev., 98 (1955), 531 | DOI | MR | Zbl

[15] C. N. Yang, R. L. Mills, Phys. Rev., 96 (1954), 191 | DOI | Zbl

[16] L. Faddeev, V. Popov, Phys. Lett., 25B (1967), 29 | DOI

[17] V. N. Popov, L. D. Faddeev, Teoriya vozmuschenii dlya kalibrovochnoinvariantnykh polei, preprint ITF AN USSR, Kiev, 1967

[18] R. Feynman, Acta Phys. Polonica, 24 (1963), 697 | MR

[19] B. S. De-Witt, Phys. Rev., 162, 1195 ; (1967), 1239 | DOI | MR | DOI

[20] S. Mandelstam, Phys. Rev., 175 (1968), 1604 | DOI

[21] M. Veltman, Nucl. Phys., B7 (1968), 637 | DOI

[22] S. L. Glashow, M. Gell-Mann, Ann. of Phys., 15 (1961), 437 ; J. Schwinger, Phys. Rev., 125 (1962), 1043 | DOI | MR | Zbl | DOI | MR | Zbl

[23] V. I. Arnold, Lektsii po klassicheskoi mekhanike, Izd. MGU, 1968, lek. 30–42 | MR

[24] R. Jost, Rev. Mod. Phys., 36 (1964), 572 | DOI

[25] R. S. Palais, Mem. Amer. Math. Soc., 22 (1957) | MR | Zbl