Analyticity of Wightman Functions

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1724218· OSTI ID:4805037

Fronsdal, Christian

The problem of mapping certain domains in the space of complex four- vectors onto the space of their inner products is solved. The''primitive-' domains of regalarity of the three and four point Wightman functions are determined. The domains whose X-space characterization was obtained by Streater, for the holomorphy envelope of the union of several primitive domains (both for the three- and four-point function) are also determined. The corresponding problem in perturbation theory is examined, and the analytic form of the perturbation theory boundary of the three- and four-point functions is obtained by the same method. The problem of the four-point function is reduced to constructing the holomorphy envelope of the union of three domains. It is shown that the boundary of the domain of four-point singularities in perturbation theory bears no resemblance to any part of the boundary of the primitive domains, or the domains found or conjectured by Streater.

• Research Organization: Univ. of Pennsylvania, Philadelphia
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-005650
• OSTI ID: 4805037
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 6 Vol. 2; ISSN JMAPAQ; ISSN 0022-2488
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
MATHEMATICS
PERTURBATION THEORY
VECTORS