Published October 1989 | Version v1
Journal article

Algorithm for calculating massless Feynman diagrams

  • 1. Moscow State Univ. (USSR)

Description

A method is proposed for calculating many-loop massless Feynman diagrams that uses Mellin expansions and uniqueness relations for the vertices and triangles in the Mellin representation. The algorithm makes it possible to simplify the complicated combinatorial calculations of many-loop massless Feynman diagrams in an arbitrary order for the var-phi 3 theory and also advance in the understanding of the possibilities of treating the corresponding diagrams of the var-phi 4 theory

Additional details

Publishing Information

Journal Title
Theoretical and Mathematical Physics (English Translation)
Journal Volume
79
Journal Issue
1
Series
Theor. Math. Phys. (Engl. Transl.).
Journal Page Range
385-391
ISSN
0040-5779
CODEN
TMPHA

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
22032537
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Translation
Descriptors DEI
ALGORITHMS; FEYNMAN DIAGRAM; FEYNMAN PATH INTEGRAL; FOUR-DIMENSIONAL CALCULATIONS; MELLIN TRANSFORM; PERTURBATION THEORY; PHI4-FIELD THEORY; PROPAGATOR; SERIES EXPANSION; TOPOLOGICAL MAPPING
Descriptors DEC
DIAGRAMS; FIELD THEORIES; INFORMATION; INTEGRAL TRANSFORMATIONS; INTEGRALS; QUANTUM FIELD THEORY; TRANSFORMATIONS

Optional Information

Notes
Cover-to-cover translation of Teoreticheskaya i Matematicheskaya Fizika (USSR).