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Teoreticheskaya i Matematicheskaya Fizika, 1973, Volume 15, Number 1, Pages 43–58 (Mi tmf3503)  
This article is cited in 6 scientific papers (total in 6 papers)

Convexity properties of Legendre transformations (variational methods in quantum field theory)

A. N. Vasil'ev, A. K. Kazanskii

Leningrad State University
Full-text PDF (2038 kB) Citations (6)
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Abstract: It is shown that in scalar field theory Legendre transforms are convex functionals in variables that have the meaning of unconnected Green's functions. It follows, in particular, that a stationarity point of these functionals in an extremum.
Received: 28.12.1971
English version:
Theoretical and Mathematical Physics, 1973, Volume 15, Issue 1, Pages 345–356
DOI: https://doi.org/10.1007/BF01028262
Bibliographic databases:
Language: Russian
Citation: A. N. Vasil'ev, A. K. Kazanskii, “Convexity properties of Legendre transformations (variational methods in quantum field theory)”, TMF, 15:1 (1973), 43–58; Theoret. and Math. Phys., 15:1 (1973), 345–356
Citation in format AMSBIB
\Bibitem{VasKaz73}
\by A.~N.~Vasil'ev, A.~K.~Kazanskii
\paper Convexity properties of Legendre transformations (variational methods in quantum field theory)
\jour TMF
\yr 1973
\vol 15
\issue 1
\pages 43--58
\mathnet{http://mi.mathnet.ru/tmf3503}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=479181}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 15
\issue 1
\pages 345--356
\crossref{https://doi.org/10.1007/BF01028262}
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    • This publication is cited in the following 6 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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