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TMF, 1979, Volume 39, Number 3, Pages 302–306 (Mi tmf2845)  

Quasiclassical expansion of the Euclidean $P(\varphi)_2$ model

I. V. Volovich


Abstract: A complete quasiclassical expansion of the Euclidean $P(\varphi)_2$ model of quantum field theory with source is obtained. In particular, it is shown that the expectation value of the Euclidean field satisfies $\langle\Phi(x)\rangle_h\to u(x)$ as $h\to 0$ where $u(x)$, a classical field, is a solution of the equation $\Delta u-m^2u=P'(u)-f(x)$.

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English version:
Theoretical and Mathematical Physics, 1979, 39:3, 477–480

Bibliographic databases:

Document Type: Article
Received: 26.01.1979

Citation: I. V. Volovich, “Quasiclassical expansion of the Euclidean $P(\varphi)_2$ model”, TMF, 39:3 (1979), 302–306; Theoret. and Math. Phys., 39:3 (1979), 477–480

Citation in format AMSBIB
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\by I.~V.~Volovich
\paper Quasiclassical expansion of the Euclidean $P(\varphi)_2$ model
\jour TMF
\yr 1979
\vol 39
\issue 3
\pages 302--306
\mathnet{http://mi.mathnet.ru/tmf2845}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=541887}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 39
\issue 3
\pages 477--480
\crossref{https://doi.org/10.1007/BF01017993}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JA61200002}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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