Geodesic
Kirkwood--Salzburg equations for the coefficient functions of the $S$ matrix
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 369-380

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A system of Kirkwood–Salzburg type equations is obtained for the coefficient functions of the $S$ matrix in the Euclidean region. The existence of solutions of the equations for the coefficient functions in the case of an infinite volume is proved for models of a real scalar field with bounded nonlinear Lagrangians. A study is made of the analogy between Euclidean quanturn field theory and statistical mechanics. 
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     author = {D. Ya. Petrina and V. I. Skripnik},
     title = {Kirkwood--Salzburg equations for the coefficient functions of the $S$ matrix},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {369--380},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a8/}
}
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D. Ya. Petrina; V. I. Skripnik. Kirkwood--Salzburg equations for the coefficient functions of the $S$ matrix. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 369-380. http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a8/