Accession Number : AD0258255

Title :   INTERFERENCES AMONG FEYNMAN GRAPHS OF DIFFERENT TOPOLOGY

Corporate Author : NAPLES UNIV (ITALY)

Personal Author(s) : CAIANIELLO,E.R. ; SHEN,K.Y.

Report Date : 11 APR 1961

Pagination or Media Count : 1

Abstract : Whenever approximations are made with a theory that describes interactions of fermion fields - that is, when the graphs of a perturbative expansion which do not belong to some summable classes are dropped or, equivalently, the integral equations which become then the substitute for the exact theory are solved - the equation arises whether the exclusion principle is being treated correctly. If all the graphs which characterize the chosen approximation procedure are duly antisymmetrized in all the intermediate states, this does not suffice in general to secure that the exclusion principle be rigorously respected (as it is in the exact solution). A given graph, or partial sum of graphs, although usually regarded, the integral equations which become then the substitute for the exact theory are solved - the equation arises whetherrded for computational purposes as a compact expression, is in fact a sum of contributions arising from all the individual modes of the free fermion fields; these contributions may be partly, or totally, cancelled by others that belong, in the graphical picture, to diagrams which are disregarded by the approximation chosen. (Author)

Descriptors :   *QUANTUM THEORY, *QUANTUM STATISTICS, *TOPOLOGY, INTEGRAL EQUATIONS, PARTICLES, PERTURBATION THEORY, SERIES(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE