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Differential equations method: the calculation of N (N>2)-points diagrams

Technical Report:

Abstract

We expand the earlier invented method of massive Feynman diagrams calculation, namely, the differential equations method, to N-point diagrams. We obtain a simple algorithm which allows us to reduce the vertex-type diagram to the propagator-type diagrams, the box-type diagram to the vertex-type diagrams and, in general, the N-point diagram to the (N-1)-point diagrams. We show that this method provides a simple procedure of evaluating the result without D-space integrals (for the dimensional regularization) calculation. 15 refs. (author).
Authors:
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
ITP-91-26
Reference Number:
SCA: 662110; PA: AIX-24:003289; SN: 93000913739
Resource Relation:
Other Information: PBD: 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FEYNMAN DIAGRAM; DIFFERENTIAL EQUATIONS; PROPAGATOR; VERTEX FUNCTIONS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10109034
Research Organizations:
AN Ukrainskoj SSR, Kiev (Ukraine). Inst. Teoreticheskoj Fiziki
Country of Origin:
Ukraine
Language:
English
Other Identifying Numbers:
Other: ON: DE93609887; TRN: UA92A0123003289
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[12] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Kotikov, A V. Differential equations method: the calculation of N (N>2)-points diagrams. Ukraine: N. p., 1991. Web.
Kotikov, A V. Differential equations method: the calculation of N (N>2)-points diagrams. Ukraine.
Kotikov, A V. 1991. "Differential equations method: the calculation of N (N>2)-points diagrams." Ukraine.
@misc{etde_10109034,
title = {Differential equations method: the calculation of N (N>2)-points diagrams}
author = {Kotikov, A V}
abstractNote = {We expand the earlier invented method of massive Feynman diagrams calculation, namely, the differential equations method, to N-point diagrams. We obtain a simple algorithm which allows us to reduce the vertex-type diagram to the propagator-type diagrams, the box-type diagram to the vertex-type diagrams and, in general, the N-point diagram to the (N-1)-point diagrams. We show that this method provides a simple procedure of evaluating the result without D-space integrals (for the dimensional regularization) calculation. 15 refs. (author).}
place = {Ukraine}
year = {1991}
month = {Dec}
}