Method of extended $S$-matrix in quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 3-40
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A general theory of extending the $S$-matrix off the mass shell is developed by introducing a
dependence on functions that describe an arbitrary external classical object. A space-time
description is introduced in terms of a classical functional argument of this kind; the description
is needed to formulate causality, which is adopted in Bogolyubov's form. Systematic
exploitation of this principle makes it possible to construct a detailed dynamical theory.
Three well-known special cases of the classical object are considered: the interaction
switching-on function, a classical addition to the quantized out-field, and a classical current
source. The relationship between the two last methods of extension is established by the introduction
of an $S$-matrix that is extended twice – with respect to the field and the current.
This provides a basis for elucidating the relationship between the consequences of the Bogolyubov
and the Lehmann–Symanzik–Zimmermann axiomatics.
@article{TMF_1972_13_1_a0,
author = {B. V. Medvedev and V. P. Pavlov and M. K. Polivanov and A. D. Sukhanov},
title = {Method of extended $S$-matrix in quantum field theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {3--40},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {1972},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a0/}
}
TY - JOUR AU - B. V. Medvedev AU - V. P. Pavlov AU - M. K. Polivanov AU - A. D. Sukhanov TI - Method of extended $S$-matrix in quantum field theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1972 SP - 3 EP - 40 VL - 13 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a0/ LA - ru ID - TMF_1972_13_1_a0 ER -
%0 Journal Article %A B. V. Medvedev %A V. P. Pavlov %A M. K. Polivanov %A A. D. Sukhanov %T Method of extended $S$-matrix in quantum field theory %J Teoretičeskaâ i matematičeskaâ fizika %D 1972 %P 3-40 %V 13 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a0/ %G ru %F TMF_1972_13_1_a0
B. V. Medvedev; V. P. Pavlov; M. K. Polivanov; A. D. Sukhanov. Method of extended $S$-matrix in quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 3-40. http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a0/