Geodesic
Spontaneous breaking of $CP$-symmetry in a nonstationary isotropic metric
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 2, pp. 212-223 
A. A. Grib; V. M. Mostepanenko; V. M. Frolov. Spontaneous breaking of $CP$-symmetry in a nonstationary isotropic metric. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 2, pp. 212-223. http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a4/
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     author = {A. A. Grib and V. M. Mostepanenko and V. M. Frolov},
     title = {Spontaneous breaking of $CP$-symmetry in a~nonstationary isotropic metric},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that when a massless scalar field and a massive fermion field interact in a spacetime with homogeneous isotropic metric of open type an effect of spontaneous breaking of $P$ and $CP$ symmetry arises. The method of diagonalization of the Hamiltonian by Bogolyubov transformations is used to obtain expressions for the number density of the produced pairs, the density of the chiral charge, and the pseudoscalar density of fermions. The correction to the number density of produced particles resulting from the effect of the spontaneous symmetry breaking is calculated.

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

[2] A. A. Grib, V. M. Mostepanenko, V. M. Frolov, TMF, 33 (1977), 42

[3] B. M. Pontekorvo, Aktualnye problemy teoreticheskoi fiziki, Sb., MGU, 1976, 183

[4] B. A. Arbuzov, ZhETF, 62 (1972), 444

[5] T. D. Lee, Phys. Pep., 9C (1974), 145

[6] N. N. Bogolyubov, DAN SSSR, 119 (1958), 224

[7] I. Yu. Kobzarev, L. B. Okun, I. Ya. Pomeranchuk, YaF, 3 (1966), 1154

[8] S. G. Mamaev, V. M. Mostepanenko, V. M. Frolov, Pisma AZh, 1:9 (1975), 8; ЯФ, 23 (1976), 1119

[9] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1973 | MR | Zbl

[10] A. I. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, «Nauka», 1969 | MR

[11] A. A. Grib, S. C. Mamayev, V. M. Mostepanenko, Gen. Relat. and Gravit., 7 (1976), 535 | DOI | MR

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

[13] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, «Nauka», 1971 | MR

[14] S. G. Mamaev, V. M. Mostepanenko, V. M. Frolov, YaF, 26 (1977), 215

[15] Ya. B. Zeldovich, A. A. Starobinskii, ZhETF, 61 (1971), 2161

[16] B. A. Levitskii, V. M. Mostepanenko, V. M. Frolov, Izv. vuzov, fizika, 1977, no. 2, 29 | MR

[17] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, «Nauka», 1965 | MR