Geodesic
Spontaneous symmetry breaking in an open Friedmann universe
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 37-44 
V. G. Lapchinskii; V. A. Rubakov. Spontaneous symmetry breaking in an open Friedmann universe. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 37-44. http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a3/
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     author = {V. G. Lapchinskii and V. A. Rubakov},
     title = {Spontaneous symmetry breaking in~an~open {Friedmann} universe},
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     volume = {42},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Problem of spontaneous symmetry breaking is studied in the model of self-interacting scalar field with minimal interaction with gravitational field in the external static Friedmann's metric of the open type. It is shown that the symmetry breaking does not occur in the model with the positive square of the mass. In the model with the negative square of the mass the symmetry is restored at early stages of the evolution of the Universe. In the massless model there is the symmetry breaking at sufficiently large scale factors, however when the scale factors are exponentially large, one must go beyond the perturbation theory framework to study the behaviour of the symmetry.

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