The primitive domains of holomorphy for the 4 and 5 point Wightman Functions

Journal Article · Sat Sep 01 04:00:00 EDT 1962 · J. Math. Phys.

DOI:https://doi.org/10.1063/1.1724299· OSTI ID:4782340

Manoharan, A C

A method is given for estimating the dimensions of different types of boundary surfaces that are relevant for the domains of holomorphy, without using local commutativity, of the 4- and 5-point Wightman functions in scalar product space. The procedure is a straightforward application of the explicit parametrization for vectors on the boundary. the DANAD and other hypersurfaces for the 4-point function are deduced. For the 5-point function, in addition to generalizations of hypersurfaces corresponding to lower point functions, a new type of hypersurface appears which can be denoted in a matrix form Z = DUMUD but not in the form Z = DANAD.

• Research Organization: Brandeis Univ., Waltham, Mass.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-002433
• OSTI ID: 4782340
• Journal Information: J. Math. Phys., Journal Name: J. Math. Phys. Vol. Vol: 3
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FIELD THEORY
MATHEMATICS
MATRICES
QUANTUM MECHANICS
SURFACES
VECTORS
WIGHTMAN FIELD THEORY
WIGHTMAN FUNCTIONS