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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 1, Pages 26–43
DOI: https://doi.org/10.4213/tmf1945 (Mi tmf1945) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Casimir Effect and Quantum Field Theory in Dielectrics

B. N. Marachevsky

Saint-Petersburg State University
Full-text PDF (739 kB) Citations (8) English version article
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DOI: https://doi.org/10.4213/tmf1945
Abstract: We apply the path-integral method in the coordinate space to the Casimir effect. We consider several examples: the Casimir energy of a dilute dielectric ball with dispersion, the Casimir energy of a polarized particle near a dielectric ball, and the Casimir energy of a polarized particle inside a perfectly conducting wedge-shaped cavity. The renormalization group equation for the $\Phi^4$ model is obtained in the coordinate space by a new method that emphasizes the relation between the background field method and the Casimir energy.
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 1, Pages 468–482
DOI: https://doi.org/10.1023/A:1015197501691
Bibliographic databases:
Language: Russian
Citation: B. N. Marachevsky, “Casimir Effect and Quantum Field Theory in Dielectrics”, TMF, 131:1 (2002), 26–43; Theoret. and Math. Phys., 131:1 (2002), 468–482
Citation in format AMSBIB
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\by B.~N.~Marachevsky
\paper Casimir Effect and Quantum Field Theory in Dielectrics
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\vol 131
\issue 1
\pages 26--43
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\crossref{https://doi.org/10.4213/tmf1945}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3438611}
\zmath{https://zbmath.org/?q=an:1044.81091}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 1
\pages 468--482
\crossref{https://doi.org/10.1023/A:1015197501691}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000175678000004}
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  • https://doi.org/10.4213/tmf1945
  • https://www.mathnet.ru/eng/tmf/v131/i1/p26
    Erratum
    This publication is cited in the following 8 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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