Accession Number:

AD0425373

Title:

PERTURBATION ANALYTICITY AND AXIOMATIC ANALYTICITY: CONNECTION OF LANDAU EQUATIONS WITH JOST DANAD MANIFOLD,

Descriptive Note:

Corporate Author:

MICHIGAN UNIV ANN ARBOR

Personal Author(s):

Report Date:

1963-01-01

Pagination or Media Count:

13.0

Abstract:

It is shown that for a certain class of Feynman graphs the singularity manifold as given by the Landau equations can be parameterized in a form very similar to Jost DANAD. In particular for n4, the boundary to this perturbation singularity domain is shown to be precisely the p-space DANAD called DANAD. The relationship between DANAD and DANAD is a precise generalization of the relationship which exists between KallenWightman surfaces for the 3-p 1nt func3iThe present result implies that the envelope of holomorphy of the union of permuted tubes cannot be continued beyond DANAD. Since DANAD defines a natural domain of holomorphy, it is suggestive that DANAD might well turn out to be part of the envelope of holomorphy. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE