Geodesic
Relativistic wave equations and Lagrangian formalism for particles of arbitrary spin
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 3, pp. 320-337 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Relativistic wave equations are obtained that describe a particle of arbitrary spin and parity and do not contain additional conditions. The fields that satisfy these equations transform in accordance with finite-dimensional reducible representations of the Lorentz group and contain principal and auxiliary components. The fields contain the least possible number of components. On the basis of these equations a Lagrangian formalism is set up and one can investigate different types of interaction. As an example, the interaction of a particle with arbitrary spin with the electromagnetic field is considered. For this case the Feynman rules are written down. 
@article{TMF_1974_20_3_a5,
     author = {V. I. Belinicher},
     title = {Relativistic wave equations and {Lagrangian} formalism for particles of arbitrary spin},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {320--337},
     year = {1974},
     volume = {20},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_20_3_a5/}
}
TY  - JOUR
AU  - V. I. Belinicher
TI  - Relativistic wave equations and Lagrangian formalism for particles of arbitrary spin
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 320
EP  - 337
VL  - 20
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_20_3_a5/
LA  - ru
ID  - TMF_1974_20_3_a5
ER  - 
%0 Journal Article
%A V. I. Belinicher
%T Relativistic wave equations and Lagrangian formalism for particles of arbitrary spin
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 320-337
%V 20
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1974_20_3_a5/
%G ru
%F TMF_1974_20_3_a5
V. I. Belinicher. Relativistic wave equations and Lagrangian formalism for particles of arbitrary spin. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 3, pp. 320-337. http://geodesic.mathdoc.fr/item/TMF_1974_20_3_a5/

[1] P. A. M. Dirac, Proc. Roy. Soc., A155 (1936), 447 | DOI

[2] M. Fierz, W. Pauli, Proc. Roy. Soc., A173 (1939), 211 | DOI | MR

[3] Harish-Chandra, Phys. Rev., 71 (1947), 793 | DOI | MR | Zbl

[4] E. S. Fradkin, ZhETF, 20 (1950), 27 | MR

[5] C. Fronsdal, Nuovo Cim., Suppl., 9 (1958), 416 | DOI | MR | Zbl

[6] S. Weinberg, Phys. Rev., 133B (1963), 1318 ; Phys. Rev., 181 (1969), 1893 | MR | DOI

[7] R. Tucker, C. Hammer, Phys. Rev., D3 (1971), 2448 | MR

[8] “Review of particle properties”, Phys. Lett., 33B (1970), 1

[9] Kh. Umezava, Kvantovaya teoriya polya, IL, 1958

[10] I. M. Gelfand, A. M. Yaglom, ZhETF, 18 (1948), 103

[11] I. M. Gelfand, R. A. Minlos, Z. Ya. Shapiro, Predstavleniya gruppy vraschenii i gruppy Lorentsa, Fizmatgiz, 1958

[12] V. Bargman, E. Wigner, Proc. Amer. Acad. Sci., 34 (1948), 211 | DOI | MR | Zbl

[13] L. A. Shelepin, ZhETF, 34 (1958), 1574 ; 37 (1959), 1626 ; 40 (1961), 1369 | MR | Zbl | Zbl | Zbl

[14] K. Hayashi, Progr. Theor. Phys., 41 (1969), 214 ; В. И. Фушич, А. Л. Грищенко, А. Г. Никитин, ТМФ, 8 (1971), 192 | DOI

[15] Yu. V. Novozhilov, Vvedenie v teoriyu elementarnykh chastits, Fizmatgiz, 1972 | MR

[16] N. N. Bogolyubov, A. A. Logunov, I. T. Todorov, Osnovy aksiomaticheskogo podkhoda v kvantovoi teorii polya, Fizmatgiz, 1969 | MR

[17] V. I. Ogievetskii, I. V. Polubarinov, ZhETF, 45 (1963), 237 | MR

[18] A. I. Oksak, I. T. Todorov, TMF, 7 (1971), 153 | MR

[19] A. Pais, G. Uhlenbeck, Phys. Rev., 79 (1950), 145 | DOI | MR | Zbl

[20] V. I. Belinicher, Dissertatsiya, Novosibirsk, 1972 | MR

[21] F. R. Gantmakher, Teoriya matrits, «Nauka», 1966 | MR

[22] V. I. Belinicher, Preprint TF-62; Препринт ТФ-63, ИМ СО АН СССР, 1971

[23] S. Weinberg, Phys. Rev., 134B (1964), 882 | DOI | MR

[24] L. Nath, B. Etemadi, I. Kimel, Phys. Rev., D3 (1971), 2153

[25] J. Chishol, Nucl. Phys., 26 (1961), 469 | DOI | MR | Zbl

[26] J. Schwinger, Phys. Rev., 130B (1963), 800 ; П. Дирак, Лекции по квантовой механике, «Мир», 1968 | DOI | MR | Zbl

[27] L. Van-Hove, Phys. Lett., 24B (1967), 183 | DOI

[28] V. S. Tumanov, TMF, 9 (1971), 388 | MR

[29] W. Hurley, Phys. Rev., D4 (1971), 3605 | MR

[30] K. Johnson, E. Sudarshan, Ann. Phys., 13 (1961), 126 ; T. D. Lee, C. N. Yang, Phys. Rev., 128 (1962), 885 ; G. Velo, D. Zwanziger, Phys. Rev., 186 (1969), 1337 ; C. Hagen, Phys. Rev., D4 (1971), 2204 | DOI | MR | Zbl | DOI | MR | Zbl | DOI

[31] R. Aichelburg, G. Ecker, R. Sexl, Nuovo Cim., 2B (1971), 63 ; И. Хриплович, Препринт ИЯФ 34-72, Новосибирск, 1972 | DOI