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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2015, Volume 19, Number 3, Pages 425–440 (Mi vsgtu1353)  

Differential Equations and Mathematical Physics

Gauge Group Contraction of Electroweak Model and its Natural Energy Limits

N. A. Gromov

Komi Scientific Center of Ural Branch of RAS, Syktyvkar, 167982, Russian Federation

Abstract: The low and higher energy limits of the Electroweak Model are obtained from first principles of gauge theory. Both limits are given by the same contraction of the gauge group, but for the different consistent rescalings of the field space. Mathematical contraction parameter in both cases is interpreted as energy. The very weak neutrino-matter interaction is explained by zero tending contraction parameter, which depends on neutrino energy. The second consistent rescaling corresponds to the higher energy limit of the Electroweak Model. At the infinite energy all particles lose masses, electroweak interactions become long-range and are mediated by the neutral currents. The limit model represents the development of the early Universe from the Big Bang up to the end of the first second.

Keywords: gauge theory, electroweak model, contraction, limit model

DOI: https://doi.org/10.14498/vsgtu1353

Full text: PDF file (755 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 517.958:539.12.01
MSC: 81V10, 81V15
Original article submitted 14/XI/2014
revision submitted – 10/III/2015

Citation: N. A. Gromov, “Gauge Group Contraction of Electroweak Model and its Natural Energy Limits”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:3 (2015), 425–440

Citation in format AMSBIB
\Bibitem{Gro15}
\by N.~A.~Gromov
\paper Gauge Group Contraction of Electroweak Model and its Natural Energy Limits
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2015
\vol 19
\issue 3
\pages 425--440
\mathnet{http://mi.mathnet.ru/vsgtu1353}
\crossref{https://doi.org/10.14498/vsgtu1353}
\zmath{https://zbmath.org/?q=an:06968974}
\elib{http://elibrary.ru/item.asp?id=24554656}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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