We develop a technique for reducing the problem of the ultraviolet divergences and their removal to a free field problem. This work is an example of a problem to which a rather general method can be applied. It can be thought as an attempt towards a rigorous version (in 2 or 3 space-time dimensions) of the analysis of the structure of the functional integrals developed in [9], the underlying mechanism being essentially the same as in [11,3].

Ultraviolet stability in Euclidean Field Theories / G., Benfatto; M., Cassandro; Gallavotti, Giovanni; F., Nicolo`; E., Olivieri; E., Presutti; E., Scacciatelli. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 71:(1980), pp. 95-130. [10.1007/BF01197916]

Ultraviolet stability in Euclidean Field Theories

GALLAVOTTI, Giovanni;
1980

Abstract

We develop a technique for reducing the problem of the ultraviolet divergences and their removal to a free field problem. This work is an example of a problem to which a rather general method can be applied. It can be thought as an attempt towards a rigorous version (in 2 or 3 space-time dimensions) of the analysis of the structure of the functional integrals developed in [9], the underlying mechanism being essentially the same as in [11,3].
1980
Euclidean Field theory; Renormalization group; Superrinormalizable field theory
01 Pubblicazione su rivista::01a Articolo in rivista
Ultraviolet stability in Euclidean Field Theories / G., Benfatto; M., Cassandro; Gallavotti, Giovanni; F., Nicolo`; E., Olivieri; E., Presutti; E., Scacciatelli. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 71:(1980), pp. 95-130. [10.1007/BF01197916]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/383014
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