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

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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.
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     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},
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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/