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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 57, Number 3, Pages 373–381 (Mi tmf2269)  

This article is cited in 2 scientific papers (total in 2 papers)

Upper bound for the partition function of $P(\varphi)_2$ Euclidean field theory with Dirichlet boundary conditions

V. V. Borzov
Full-text PDF (499 kB) Citations (2)
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Abstract: The $P(\varphi)_2$ Euclidean (quantum) field theory on a bounded interval with zero-value boundary conditions is considered. An asymptotic representation of the partition function in terms of the partition function of the free field and a factor that depends on the interaction is discussed. The hypothesis is partly justified. Namely, an upper bound is obtained for the partition function in terms of the right-hand side of the asymptotic expression.
Received: 10.02.1983
English version:
Theoretical and Mathematical Physics, 1983, Volume 57, Issue 3, Pages 1203–1209
DOI: https://doi.org/10.1007/BF01018747
Bibliographic databases:
Language: Russian
Citation: V. V. Borzov, “Upper bound for the partition function of $P(\varphi)_2$ Euclidean field theory with Dirichlet boundary conditions”, TMF, 57:3 (1983), 373–381; Theoret. and Math. Phys., 57:3 (1983), 1203–1209
Citation in format AMSBIB
\Bibitem{Bor83}
\by V.~V.~Borzov
\paper Upper bound for the partition function of~$P(\varphi)_2$ Euclidean field theory with Dirichlet boundary conditions
\jour TMF
\yr 1983
\vol 57
\issue 3
\pages 373--381
\mathnet{http://mi.mathnet.ru/tmf2269}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=735396}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 57
\issue 3
\pages 1203--1209
\crossref{https://doi.org/10.1007/BF01018747}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SY87100005}
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  • https://www.mathnet.ru/eng/tmf/v57/i3/p373
  • This publication is cited in the following 2 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:344
    Full-text PDF :101
    References:61
    First page:1
     
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