Bogoliubov and Shirkov derive functional renormalization-group
equations of quantum electrodynamics for the general case. The
relationship between the work of Stueckelberg and Petermann (1953)
and
Gell-Mann and Low (1954) is established. Differential group
equations
are constructed for the first time, and a program for systematically
improving the results of ordinary perturbation theory is formulated.
N. Bogoliubov and D. Shirkov, "O renormalizatsionnoi gruppe v
kvantovoi elektrodinamike," Dokl. Akad. Nauk SSSR 103 (1955): 203;
"Primenenie renormalizatsionnoi gruppy k uluchsheniiu formul teorii
vozmushchenii," Dokl. Akad. Nauk SSSR 103 (1955): 391; "Gruppa
mul'tiplikativnykh perenormirovok v kvantovoi teorii polia," ZhETF 30
(1956): 77.
N.N. Bogoliubov and D.V. Shirkov, "Voprosy kvantovoi teorii polia,"
Uspekhi fizicheskikh nauk 55 (1955): 149-214; 57 (1955): 1-92.