ISSN:
1573-0530
Keywords:
Indefinite metric
;
Krein spaces
;
GNS representation
;
azxiomatic QFT
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The sufficient Hilbert space structure condition (abbr. HSSC) (Ĥ) is introduced such that, if a linear functional T defined on some tensor algebra satisfies (Ĥ), then the transformed functional p(T)|s obtained by s-product power series satisfies the usual HSSC. Consequently, the GNS representation with respect to p(T)|s yields a Krein space as the space of state vectors. This generalizes the sufficient HSSC for truncated Wightman functionals due to Albeverio, Gottschalk and Wu.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007393411896
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