Geodesic
Method of approximate calculating path integrals by using perturbation theory with convergent series. II. Euclidean quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 60-69 
V. V. Belokurov; Yu. P. Solov'ev; E. T. Shavgulidze. Method of approximate calculating path integrals by using perturbation theory with convergent series. II. Euclidean quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 1, pp. 60-69. http://geodesic.mathdoc.fr/item/TMF_1996_109_1_a5/
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     author = {V. V. Belokurov and Yu. P. Solov'ev and E. T. Shavgulidze},
     title = {Method of approximate calculating path integrals by using perturbation theory with convergent {series.~II.} {Euclidean} quantum field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1996},
     volume = {109},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_109_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We establish a method of approximate calculating path integrals, proposed in our previous paper, for the case where the Gaussian measure is given by an operator of trace class.

[1] V. V. Belokurov, Yu. P. Solovev, E. T. Shavgulidze, TMF, 109:1 (1996), 51–59 | DOI | MR | Zbl

[2] Large-order behaviour of perturbation theory, eds. J.-C. le Guillou, J. Zinn-Justin, North-Holland, Amsterdam, 1990

[3] Kh.-S. Go, Gaussovskie mery v banakhovykh prostranstvakh, Mir, M., 1979

[4] B. Saimon, Model $P(\varphi)_2$ evklidovoi kvantovoi teorii polya, Mir, M., 1976

[5] Dzh. Glimm, A. Dzhaffe, Matematicheskie metody kvantovoi fiziki. Podkhod s ispolzovaniem funktsionalnykh integralov, Mir, M., 1984 | MR

[6] O. G. Smolyanov, E. T. Shavgulidze, Kontinualnye integraly, Izd-vo MGU, M., 1990 | MR | Zbl