Geodesic
Quasiclassical expansion of the Euclidean $P(\varphi)_2$ model
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 302-306

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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 $\Delta u-m^2u=P'(u)-f(x)$. 
@article{TMF_1979_39_3_a1,
     author = {I. V. Volovich},
     title = {Quasiclassical expansion of the {Euclidean} $P(\varphi)_2$ model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {302--306},
     publisher = {mathdoc},
     volume = {39},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a1/}
}
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I. V. Volovich. Quasiclassical expansion of the Euclidean $P(\varphi)_2$ model. Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 302-306. http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a1/