Geodesic
Generalized field quantization and statistics of elementary particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 2, pp. 163-183 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Generalized schemes for the quantization of free fields based on the deformed trilinear relations of Green are investigated. A theorem shows that in reality continuous deformation is impossible. In particular, it is shown that a small violation of the ordinary Fermi and Bose statistics is impossible both in the framework of local field theory, corresponding to parastatistics of finite orders, and in the framework of nonlocal field theory, corresponding to infinite statistics. The existence of antiparticles plays a decisive role in establishing the matter case. 
@article{TMF_1994_98_2_a0,
     author = {A. B. Govorkov},
     title = {Generalized field quantization and statistics of elementary particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--183},
     year = {1994},
     volume = {98},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_2_a0/}
}
TY  - JOUR
AU  - A. B. Govorkov
TI  - Generalized field quantization and statistics of elementary particles
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 163
EP  - 183
VL  - 98
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_98_2_a0/
LA  - ru
ID  - TMF_1994_98_2_a0
ER  - 
%0 Journal Article
%A A. B. Govorkov
%T Generalized field quantization and statistics of elementary particles
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 163-183
%V 98
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1994_98_2_a0/
%G ru
%F TMF_1994_98_2_a0
A. B. Govorkov. Generalized field quantization and statistics of elementary particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 2, pp. 163-183. http://geodesic.mathdoc.fr/item/TMF_1994_98_2_a0/

[1] Wigner E. P., Phys. Rev., 77:5 (1950), 711–712 | DOI | MR | Zbl

[2] Green H. S., Phys. Rev., 90:2 (1953), 270–273 | DOI | MR | Zbl

[3] Govorkov A. B., TMF, 54:3 (1983), 361–371 | MR

[4] Greenberg O. W., Messiah A. M. L., Phys. Rev., B138:5 (1965), 1155–1167 | DOI | MR

[5] Ohnuki Y., Kamefuchi S., Quantum Field Theory and Parastatistics, Springer-Verlag, Berlin, Heidelberg, New York, 1982 | MR | Zbl

[6] Govorkov A. B., EChAYa, 14:56 (1983), 1229–1272 | MR

[7] Govorkov A. B., TMF, 85:2 (1990), 222–236 | MR

[8] Govorkov A. B., Nucl. Phys., B365:2 (1991), 381–403 | DOI | MR

[9] Govorkov A. B., Phys. Lett., A137:1,2 (1989), 7–10 | DOI

[10] Fredenhagen K., Commun. Math. Phys., 79:1 (1981), 141–151 | DOI | MR

[11] Greenberg O. W., Phys. Rev., D43:12 (1991), 4111–4120 ; Physica, A180:3,4 (1992), 419–427 | MR | DOI

[12] Greenberg O. W., Phys. Rev. Lett., 64:7 (1990), 705–708 | DOI | MR | Zbl

[13] Pauli W., Rev. Mod. Phys., 13:3 (1941), 203–232 ; Pauli V., Relyativistskaya teoriya elementarnykh chastits, IIL, M., 1947; Швебер С., Введение в релятивистскую квантовую теорию, ИИЛ, М., 1963 | DOI

[14] Bialynicki-Birula I., Nucl. Phys., 49:4 (1963), 605–608 | DOI | MR

[15] Ignatev A. Yu., Kuzmin V. A., YaF, 46:3(9) (1987), 786–790

[16] Greenberg O. W., Mohapatra R. N., Phys. Rev. Lett., 59:22 (1987), 2507–2510 ; 62:7 (1989), 712–714 | DOI | MR | DOI | MR

[17] Okun L. B., Pisma v ZhETF, 46:11 (1987), 420–422

[18] Dell'Antonio G. F., Greenberg O. W., Sudarshan E. C. G., Group Theoretical Concepts and Methods in Elementary Particle Physics, Gordon and Breach, N. Y., 1964, 403–407 | MR

[19] Greenberg O. W., Messiah A. M. L., J. Math. Phys., 6:4 (1965), 500–504 | DOI | MR

[20] Doplicher S., Haag R., Roberts J. E., Commun. Math. Phys., 23:3 (1971), 199–230 ; 35:1 (1974), 49 | DOI | MR | DOI | MR

[21] Buchholz D., Fredenhagen K., Commun. Math. Phys., 84:1 (1982), 1–54 | DOI | MR | Zbl

[22] Cougo-Pinto M. V., Phys. Rev., D46:2 (1992), 858–860

[23] Govorkov A. B., Mod. Phys. Lett., A7:26 (1992), 2383–2388 | DOI | MR | Zbl