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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 45, Number 3, Pages 407–420 (Mi tmf4346)  
This article is cited in 11 scientific papers (total in 11 papers)

Spontaneous symmetry breaking in a closed cosmological Friedmann model

A. V. Veryaskin, V. G. Lapchinskii, V. A. Rubakov
Full-text PDF (1447 kB) Citations (11)
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Abstract: Spontaneous symmetry breaking in a closed Friedmann model is investigated. Conditions of symmetry breaking for a space with finite volume are derived. It is shown in the single-loop approximation that in the model of a self-interacting scalar field and in scalar electrodynamics the symmetry is restored at small radii of the Universe irrespective of the sign of the square of the mass, and for scalar electrodynamics irrespective of the relationship between the coupling constants as well. The obtained results make it possible to analyze numerous cosmological consequences of vacuum phase transitions in the early Universe. The Appendix describes the general solution of the equations of a massive vector field in a closed static Friedmann model.
Received: 08.10.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 45, Issue 3, Pages 1109–1118
DOI: https://doi.org/10.1007/BF01016712
Bibliographic databases:
Language: Russian
Citation: A. V. Veryaskin, V. G. Lapchinskii, V. A. Rubakov, “Spontaneous symmetry breaking in a closed cosmological Friedmann model”, TMF, 45:3 (1980), 407–420; Theoret. and Math. Phys., 45:3 (1980), 1109–1118
Citation in format AMSBIB
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\by A.~V.~Veryaskin, V.~G.~Lapchinskii, V.~A.~Rubakov
\paper Spontaneous symmetry breaking in a~closed cosmological Friedmann model
\jour TMF
\yr 1980
\vol 45
\issue 3
\pages 407--420
\mathnet{http://mi.mathnet.ru/tmf4346}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=604537}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 45
\issue 3
\pages 1109--1118
\crossref{https://doi.org/10.1007/BF01016712}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LZ77900011}
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  • https://www.mathnet.ru/eng/tmf/v45/i3/p407
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:434
    Full-text PDF :146
    References:56
    First page:3
     
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