This article is cited in 4 scientific papers (total in 4 papers)
Method of extended $S$-matrix in quantum field theory
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov
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.
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Theoretical and Mathematical Physics, 1972, 13:1, 939–964
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov, “Method of extended $S$-matrix in quantum field theory”, TMF, 13:1 (1972), 3–40; Theoret. and Math. Phys., 13:1 (1972), 939–964
Citation in format AMSBIB
\by B.~V.~Medvedev, V.~P.~Pavlov, M.~K.~Polivanov, A.~D.~Sukhanov
\paper Method of extended $S$-matrix in quantum field theory
\jour Theoret. and Math. Phys.
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S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko, “On equations for the coefficient functions of the $S$-matrix in quantum field theory”, Theoret. and Math. Phys., 19:1 (1974), 332–339
S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko, “$S$ matrix in constructive quantum field theory”, Theoret. and Math. Phys., 23:2 (1975), 422–434
N. K. Dushutin, V. M. Mal'tsev, S. I. Sinegovskii, “Particle production in the extended $S$-matrix method”, Theoret. and Math. Phys., 24:1 (1975), 676–680
O. Yu. Shvedov, “Relativistically Covariant Quantum Field Theory of the Maslov Complex Germ”, Theoret. and Math. Phys., 144:3 (2005), 1296–1314
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