On a pathology in indefinite metric inner product space

DOI10.1007/BF02029137zbMath0505.47028OpenAlexW1978800262MaRDI QIDQ1836377

Huzihiro Araki

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02029137

zbMATH Keywords

perturbation theoryquantum field theoryindefinite metricsoluble modelsspectrum of operators

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Constructive quantum field theory (81T08) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Miscellaneous applications of functional analysis (46N99) Linear operators on spaces with an indefinite metric (47B50)

Related Items (7)

An explicit realization of a GNS representation in a Krein-space ⋮ On the cones of \(\alpha\) and generalized \(\alpha\)-positivity for quantum field theories with indefinite metric ⋮ Generalized free field-like \(U(1)\)-gauge theories within the Wightman framework ⋮ On the completed hull of non-degenerate inner product spaces ⋮ Piecewise deterministic quantum dynamics and quantum fractals on the Poincaré disk ⋮ Tomita's spectral analysis in Krein spaces ⋮ Linear canonical supertransformation

Cites Work

• Canonical linear transformation on Fock space with an indefinite metric
• Unnamed Item

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