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Ultraviolet stability in euclidean scalar field theories

Journal Article:

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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, the underlying mechanism being essentially the same as in Glimms approach.
Authors:
Publication Date:
Jan 01, 1980
Product Type:
Journal Article
Reference Number:
AIX-11-533577; EDB-81-024485
Resource Relation:
Journal Name: Commun. Math. Phys.; (Germany, Federal Republic of); Journal Volume: 71:2
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONSTRUCTIVE FIELD THEORY; ULTRAVIOLET DIVERGENCES; DISTRIBUTION FUNCTIONS; EUCLIDEAN SPACE; GAUSSIAN PROCESSES; GREEN FUNCTION; PERTURBATION THEORY; PROBABILITY; RANDOMNESS; RENORMALIZATION; SCALAR FIELDS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL SPACE; QUANTUM FIELD THEORY; RIEMANN SPACE; SPACE; 645400* - High Energy Physics- Field Theory
OSTI ID:
6705945
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: CMPHA
Submitting Site:
INIS
Size:
Pages: 95-130
Announcement Date:
Jul 01, 1980

Journal Article:

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Citation Formats

Benfatto, G, Cassandro, M, Gallavotti, G, Nicolo, F, Olivieri, E, Presutti, E, Scacciatelli, E, and Rome Univ. (Italy). Istituto di Fisica). Ultraviolet stability in euclidean scalar field theories. Germany: N. p., 1980. Web.
Benfatto, G, Cassandro, M, Gallavotti, G, Nicolo, F, Olivieri, E, Presutti, E, Scacciatelli, E, & Rome Univ. (Italy). Istituto di Fisica). Ultraviolet stability in euclidean scalar field theories. Germany.
Benfatto, G, Cassandro, M, Gallavotti, G, Nicolo, F, Olivieri, E, Presutti, E, Scacciatelli, E, and Rome Univ. (Italy). Istituto di Fisica). 1980. "Ultraviolet stability in euclidean scalar field theories." Germany.
@misc{etde_6705945,
title = {Ultraviolet stability in euclidean scalar field theories}
 author = {Benfatto, G, Cassandro, M, Gallavotti, G, Nicolo, F, Olivieri, E, Presutti, E, Scacciatelli, E, and Rome Univ. (Italy). Istituto di Fisica)}
 abstractNote = {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, the underlying mechanism being essentially the same as in Glimms approach.}
 journal = {Commun. Math. Phys.; (Germany, Federal Republic of)}
 volume = {71:2}
 journal type = {AC}
 place = {Germany}
 year = {1980}
 month = {Jan}
 }