Analytic Properties of Products of Field Operators

Journal Article · Thu Mar 01 04:00:00 EST 1962 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1703798· OSTI ID:4838864

Streater, R. F.

It is shown that any function of n -- 1 four-vectors which is analytic in the forward tube, the backward tube, and some neighborhood of the Jost points has a one-valued continuation into the extended tube. The theorem is applied to products of field operators between arbitrary states. It is shown that each matrix element of the product is analytic in the envelope of holomorphy of the union of the permuted extended tubes (the domain of analyticity of the most general causal vacuum expectatton value). Thus the product of field operators may be regarded as having analytic properttes. ( auth)

• Research Organization: Princeton Univ., N.J.
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-020939
• OSTI ID: 4838864
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 3; ISSN JMAPAQ; ISSN 0022-2488
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

MATHEMATICS AND COMPUTERS
OPERATORS