Published August 1975 | Version v1
Journal article

The power counting theorem for Feynman integrals with massless propagators

  • 1. New York Univ., N.Y. (USA). Dept. of Physics
  • 2. Max-Planck-Institut fuer Physik und Astrophysik, Muenchen (F.R. Germany)

Description

Dyson's power counting theorem is extended to the case where some of the mass parameters vanish. Weinberg's ultraviolet convergence conditions are supplemented by infrared convergence conditions which combined are sufficient for the convergence of Feynman integrals. (orig.)

Abstract (German)

Dysons Potenz-Ausgleichstheorem wird auf den Fall ausgedehnt, in dem einige der Massenparameter verschwinden. Weinbergs Ultraviolett-Konvergenzbedingungen werden durch Infrarot-Konvergenzbedingungen ergaenzt, mit denen zusammen sie fuer die Konvergenz von Feynman-Intergralen ausreichend sind. (orig./AK)

Additional details

Identifiers

Publishing Information

Journal Title
Communications in Mathematical Physics
Journal Volume
44
Journal Issue
1
Series
Commun. Math. Phys.
Journal Page Range
73-86
ISSN
0010-3616

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
7241342
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DYSON REPRESENTATION; FEYNMAN PATH INTEGRAL; INFRARED DIVERGENCES; POWER SERIES; RENORMALIZATION; ULTRAVIOLET DIVERGENCES
Descriptors DEC
INTEGRALS; SERIES EXPANSION

Optional Information

Notes
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