This article is cited in 12 papers

Kirkwood–Salzburg equations for the coefficient functions of the $S$ matrix

D. Ya. Petrina, V. I. Skripnik


Abstract: 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.

Received: 07.12.1970

 English version: Theoretical and Mathematical Physics, 1971, 8:3, 896–904