Physics of Scale Activities

1955
Functional renormalization-group equations of QED
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.
--Karl Hall