The Hilbert space structure condition for quantum field theories with indefinite metric and transformations with linear functionals

DOI10.1023/A:1007393411896zbMath0905.46014OpenAlexW1568397928MaRDI QIDQ1373298

Gerald Hofmann

Publication date: 11 January 1999

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/214227

zbMATH Keywords

Krein spaceindefinite metrictensor algebrastate vectorsGNS representationaxiomatic QFTHilbert space structure conditionHSSCs-product power seriestruncated Wightman functionals

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Axiomatic quantum field theory; operator algebras (81T05) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

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