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Zero-mass limit in perturbative quantum field theory

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Abstract

A newR-operation which satisfies Bogolubov-Parasiuk and Hepp recurrence and which is infrared and ultra violet convergent graph by graph, is defined in perturbative quantum field theory. This new subtraction scheme is used to achieve the zero-mass limit of a massive field theory.

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Communicated by K. Symanzik

Chargé de recherche CNRS. — Work supported in part by Alexander Von Humboldt fellowship.

Work supported in part by Deutsche Forschungsgemeinschaft. — Institut für theoretische Physik, Freie Universität Berlin, Berlin, Federal Republic of Germany, and present address: Radiological Research Laboratory, Columbia University, 630 West 168 St. New York, New York 10032, USA.

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Bergère, M.C., Lam, YM.P. Zero-mass limit in perturbative quantum field theory. Commun.Math. Phys. 48, 267–290 (1976). https://doi.org/10.1007/BF01617874

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  • DOI: https://doi.org/10.1007/BF01617874

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