FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 3, PAGES 613-621

Operator method of solving renormalization group equations

V.V.Belokurov
V.V.Kamchatny

A new method of solving functional renormalization group equations is proposed. The method is based on representation of the relations for coefficients in perturbation theory series for invariant charge and Green functions as some operator equations. Operator representation of renormalization group equations appears to be particularly convenient for finding approximate solutions when some first terms in perturbation theory for quantities to be found are known.

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