Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 27-38
Citer cet article
O. I. Zavialov; P. B. Medvedev. The $R$-operation in the $\lambda\varphi^4$-theory as a consequence of an indefinite metric in the extended space of states (lowest orders). Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 27-38. http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a2/
@article{TMF_1974_18_1_a2,
author = {O. I. Zavialov and P. B. Medvedev},
title = {The~$R$-operation in the $\lambda\varphi^4$-theory as a~consequence of an~indefinite metric in the extended space of states (lowest orders)},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {27--38},
year = {1974},
volume = {18},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a2/}
}
TY - JOUR
AU - O. I. Zavialov
AU - P. B. Medvedev
TI - The $R$-operation in the $\lambda\varphi^4$-theory as a consequence of an indefinite metric in the extended space of states (lowest orders)
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1974
SP - 27
EP - 38
VL - 18
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%A P. B. Medvedev
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%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 27-38
%V 18
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a2/
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It is shown that the iterative solution of the Heisenberg equations of motion for the operators of creation and annihilation in the quasi-Fok space [1] automatically lead in the first two orders of perturbation theory to the field renormalized by a certain $R$-operation. Thus, the expressions for the constant $\delta m^2$ of the mass renormalization and the constant $Z_3$ of the wavefunction renormalization are finite in the quasi-Fok space.
