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Universal regularizations. I: Prescriptions and the one-loop approximation. (English. Russian original) Zbl 0934.81029
Theor. Math. Phys. 84, No. 1, 706-718 (1990); translation from Teor. Mat. Fiz. 84, No. 1, 46-63 (1990).
Summary: We formulate rules for a ‘universal’ ultraviolet regularization (different from dimensional regularization) aimed at preserving internal symmetries in nonanomalous situations. The regularization is tantamount to the integration (with a certain weight) of Feynman graphs over ‘soft masses’ introduced specially into graphs and arising as a result of ‘enlarging’ the loop momenta. One-loop examples related to abelian and nonabelian gauge theories are considered. It is shown that the universal regularization is indeed in accordance with corresponding symmetries. The mechanism of the axial anomaly is discussed in terms of the universal regularization.

MSC:
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
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