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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 224, Pages 215–224 (Mi znsl4444)  
Kaluza–Klein or fibre bundles?

N. P. Konoplevaab

a Всероссийский научно-исследовательский институт электромеханики
b Лаборатория теоретической физики им. Н. Н. Боголюбова, ОИЯИ
Full-text PDF (534 kB)
Abstract: Two basic geometric ways in the modern theory of the gauge fields are analyzed and compared. The first way is an extension of the Kaluza–Klein unified theory of gravity and electromagnetism (1921). The second way extends the Cartan's formulation (1925) of Riemannian geometry and GR which is transformed to the fibre bundle theory now. The goal of this talk is to show that above-mentioned two geometric ways in the classical gauge fields theory are nonequivalent and lead to different forms of the quantum gauge fields theory. Bibliography: 12 titles.
Received: 01.09.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 88, Issue 2, Pages 249–254
DOI: https://doi.org/10.1007/BF02364986
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: N. P. Konopleva, “Kaluza–Klein or fibre bundles?”, Questions of quantum field theory and statistical physics. Part 13, Zap. Nauchn. Sem. POMI, 224, POMI, St. Petersburg, 1995, 215–224; J. Math. Sci. (New York), 88:2 (1998), 249–254
Citation in format AMSBIB
\Bibitem{Kon95}
\by N.~P.~Konopleva
\paper Kaluza--Klein or fibre bundles?
\inbook Questions of quantum field theory and statistical physics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 224
\pages 215--224
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4444}
\zmath{https://zbmath.org/?q=an:0905.53068}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 2
\pages 249--254
\crossref{https://doi.org/10.1007/BF02364986}
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