Annotation
We study the connection between quasi-classical field theory and axiomatic statements of the quantum field theory, Schwinger source theory, and the Lehmann-Symanzik-Zimmermann (LSZ) formalism. The classical Schwinger source is connected with the classical field; the LSZ $R$-function is connected with the quantum field operator. The axioms of the quantum field theory are written in the context of the quasi-classical expansion. In the considered approach, the stationary action principle and canonical commutation relations for field operators are obtained as corollaries and are not postulated as initial statements of the theory.
Received: 2010 November 18
Approved: 2011 September 21
PACS:
03.65.Sq Semiclassical theories and applications
11.10.Cd Axiomatic approach
11.10.Cd Axiomatic approach
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
O.Yu. Shvedov
Faculty of Physics, Moscow State University, Moscow, 119991, Russia
Faculty of Physics, Moscow State University, Moscow, 119991, Russia