Multi-loop Feynman integrals and conformal quantum mechanics release_vizqlndr4bdwpl5e4gnvd7n4xq

by A.P. Isaev

Released as a article .

2003  

Abstract

New algebraic approach to analytical calculations of D-dimensional integrals for multi-loop Feynman diagrams is proposed. We show that the known analytical methods of evaluation of multi-loop Feynman integrals, such as integration by parts and star-triangle relation methods, can be drastically simplified by using this algebraic approach. To demonstrate the advantages of the algebraic method of analytical evaluation of multi-loop Feynman diagrams, we calculate ladder diagrams for the massless ϕ^3 theory. Using our algebraic approach we show that the problem of evaluation of special classes of Feynman diagrams reduces to the calculation of the Green functions for specific quantum mechanical problems. In particular, the integrals for ladder massless diagrams in the ϕ^3 scalar field theory are given by the Green function for the conformal quantum mechanics.
In text/plain format

Archived Files and Locations

application/pdf  180.9 kB
file_76f7nzzcuzayznklsc44uko2me
archive.org (archive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   accepted
Date   2003-06-05
Version   v3
Language   en ?
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 96e9b186-c6ba-4776-9582-4febf7b13429
API URL: JSON