Geodesic
Spontaneous breaking of gauge symmetry in a nonstationary isotropic metric
Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 1, pp. 42-53 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The theory of complex scalar field in nonstationary isotropic metrics of the open type is considered. It is shown that the self-interaction of the field in such a theory leads to spontaneous breakdown of gauge symmetry. In distinction to the Goldstone model one has no need to use the negative values of the mass squared. Interaction with vector field leads to the Higgs phenomenon in the open Friedmann space. By means of the analysis of corresponding nonlinear differential equations the energy density and the pressure of the field in nonsymmetric vacuum state are found. The effective time of existence of spontaneous breakdown of symmetry for massive field near the cosmological singularity is calculated for the different laws of the expansion. 
@article{TMF_1977_33_1_a3,
     author = {A. A. Grib and V. M. Mostepanenko and V. M. Frolov},
     title = {Spontaneous breaking of gauge symmetry in a~nonstationary isotropic metric},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {42--53},
     year = {1977},
     volume = {33},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a3/}
}
TY  - JOUR
AU  - A. A. Grib
AU  - V. M. Mostepanenko
AU  - V. M. Frolov
TI  - Spontaneous breaking of gauge symmetry in a nonstationary isotropic metric
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 42
EP  - 53
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a3/
LA  - ru
ID  - TMF_1977_33_1_a3
ER  - 
%0 Journal Article
%A A. A. Grib
%A V. M. Mostepanenko
%A V. M. Frolov
%T Spontaneous breaking of gauge symmetry in a nonstationary isotropic metric
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 42-53
%V 33
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a3/
%G ru
%F TMF_1977_33_1_a3
A. A. Grib; V. M. Mostepanenko; V. M. Frolov. Spontaneous breaking of gauge symmetry in a nonstationary isotropic metric. Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 1, pp. 42-53. http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a3/

[1] P. W. Higgs, Phys. Rev., 145 (1966), 1156 | DOI | MR

[2] J. Goldstone, Nuovo. Cim., 19 (1961), 154 ; J. Goldstone, A. Salam, S. Weinberg, Phys. Rev., 127 (1962), 965 | DOI | MR | Zbl | DOI | MR | Zbl

[3] A. A. Grib, E. V. Damaskinskii, V. M. Maksimov, UFN, 102 (1970), 587 | DOI

[4] A. A. Grib, V. M. Mostepanenko, V. M. Frolov, TMF, 29 (1976), 370

[5] N. N. Bogolyubov, Yu. A. Mitropolskii, Asimptoticheskie metody v teorii nelineinykh kolebanii, «Nauka», 1974 | MR

[6] D. A. Kirzhnits, A. D. Linde, ZhETF, 67 (1974), 1263

[7] S. Weinberg, Phys. Rev., D9 (1974), 3357

[8] I. V. Krive, A. D. Linde, E. M. Chudnovskii, ZhETF, 71 (1976), 825

[9] R. Penrouz, Gravitatsiya i topologiya, Sb., «Mir», 1966

[10] N. A. Chernikov, E. A. Tagirov, Ann. Inst. Henri Poincare, 9A (1968), 109 | MR | Zbl

[11] S. G. Mamaev, V. M. Mostepanenko, A. A. Starobinskii, ZhETF, 70 (1976), 1577

[12] N. N. Bogoliubov, Suppl. Nuovo. Cim., 4 (1966), 347

[13] Ya. B. Zeldovich, I. Yu. Kobzarev, L. B. Okun, ZhETF, 67 (1974), 3

[14] T. D. Lee, Phys. Rep., 9C (1974), 145

[15] N. N. Moiseev, Asimptoticheskie metody nelineinoi mekhaniki, «Nauka», 1969 | MR | Zbl

[16] A. A. Grib, V. M. Mostepanenko, Pisma ZhETF, 25 (1977), 302

[17] N. A. Chernikov, EChAYa, 4 (1973), 773

[18] J. Berstein, Rev. Mod. Phys., 46 (1974), 7 | DOI | MR