Skeleton equations with subtractions and the $R$ operation
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 1, pp. 33-40
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In every order of renormalized perturbation theory for $\lambda\varphi^4$ model, the one-to-one correspondence is established between the iterative solution of skeleton equations with subtractions and evaluation of the Green functions by means of the Bogoliubov $R$-operation.
[1] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1973 | MR | Zbl
[2] A. I. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, «Nauka», 1969 | MR
[3] K. Symanzik, Lectures on High Energy Physics, New York, 1966; R. W. Johnson, J. Math. Phys., 11 (1970), 2161 | DOI
[4] W. Zimmerman, Elementary Particles and Quantum Field Theory, MIT Press, 1971; Ann. Phys. (N. Y.), 77 (1973), 536 | DOI
[5] O. I. Zavyalov, B. M. Stepanov, YaF, 1 (1965), 922
[6] A. N. Vasilev, A. K. Kazanskii, Yu. M. Pismak, TMF, 20 (1974), 181