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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 5, Pages 47–59 (Mi fpm1757)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear nonlocal substitutions in functional integrals

V. V. Belokurovab, E. T. Shavgulidzea

a Lomonosov Moscow State University, Moscow, Russia
b Institute for Nuclear Research of Russian Academy of Sciences, Moscow, Russia
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Abstract: It is shown that nonlinear nonlocal substitutions in functional integrals lead to the need of integration over functional spaces that include functions with singularities. This makes it possible to formulate a quantum theory in cases where singularities are essential, e.g., in quantum cosmology. The proper accounting of singularities in functional integrals gives an additional unexpected effect, which we call “quantum restoration of broken symmetry.”
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 248, Issue 5, Pages 544–552
DOI: https://doi.org/10.1007/s10958-020-04895-x
Document Type: Article
UDC: 517
Language: Russian
Citation: V. V. Belokurov, E. T. Shavgulidze, “Nonlinear nonlocal substitutions in functional integrals”, Fundam. Prikl. Mat., 21:5 (2016), 47–59; J. Math. Sci., 248:5 (2020), 544–552
Citation in format AMSBIB
\Bibitem{BelSha16}
\by V.~V.~Belokurov, E.~T.~Shavgulidze
\paper Nonlinear nonlocal substitutions in functional integrals
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 5
\pages 47--59
\mathnet{http://mi.mathnet.ru/fpm1757}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 248
\issue 5
\pages 544--552
\crossref{https://doi.org/10.1007/s10958-020-04895-x}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Фундаментальная и прикладная математика
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