Remarks on some new models of interacting quantum fields with indefinite metric

DOI10.1016/S0034-4877(97)85890-9zbMath0906.46057arXivmath-ph/0501034OpenAlexW2050986220MaRDI QIDQ1387110

Hanno Gottschalk, Jiang-Lun Wu, Sergio A. Albeverio

Publication date: 2 June 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0501034

zbMATH Keywords

unitary representationindefinite metricanalytical continuationquantum field modelsmodified Wightman axiomsstochastic processes with Euclidean invariance

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator theory in the physical sciences (47N50) Applications of functional analysis in quantum physics (46N50)

Related Items (1)

Construction of relativistic quantum fields in the framework of white noise analysis

Cites Work

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• Random fields as solutions of the inhomogeneous quaternionic Cauchy- Riemann equation. I: Invariance and analytic continuation
• Axioms for Euclidean Green's functions. II
• Models of local relativistic quantum fields with indefinite metric (in all dimensions)
• The Hilbert space structure condition for quantum field theories with indefinite metric and transformations with linear functionals
• Construction of quantum fields from Markoff fields
• CONVOLUTED GENERALIZED WHITE NOISE, SCHWINGER FUNCTIONS AND THEIR ANALYTIC CONTINUATION TO WIGHTMAN FUNCTIONS
• Euclidean random fields obtained by convolution from generalized white noise

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