Euclidean Reconstruction in Quantum Field Theory: Between tempered distributions and Fourier Hyperfunctions

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dc.creatorSchmidt, Andreas U.
dc.date1998-11-02
dc.date.accessioned2026-07-07T04:32:34Z
dc.date.available2026-07-07T04:32:34Z
dc.descriptionI want to point out the mathematical difficulties that arise in the study of the relation of Wightman and Euclidean quantum field theory, i.e., the relation between the hierarchies of Wightman and Schwinger functions. The two extreme cases where the reconstructed Wightman functions are either tempered distributions - the well-known Osterwalder-Schrader reconstruction - or modified Fourier hyperfunctions are discussed in some detail. Finally, some perpectives towards a classification of Euclidean reconstruction theorems are outlined and preliminary steps in that direction are presented.
dc.description20 pages, 5 figures, AMSTeX with PICTeX macros, Talk given at the second Frankfurt-Krakow Operator Theory Seminar, April 1997
dc.identifierhttps://arxiv.org/abs/math-ph/9811002
dc.identifierhttp://arxiv.org/abs/math-ph/9811002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58239
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject81T05; 46F15
dc.titleEuclidean Reconstruction in Quantum Field Theory: Between tempered distributions and Fourier Hyperfunctions
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