Euclidean reconstruction in quantum field theory: between tempered distributions and Fourier hyperfunctions

  • In this short note on my talk I 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.

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Metadaten
Author:Andreas U. SchmidtGND
URN:urn:nbn:de:hebis:30-11409
Parent Title (German):Talk at the 2nd Frankfurt-Krakow Operator Theory Seminar, Iagellonian University, Krakow, Poland, 7-11 April 1997
Document Type:Conference Proceeding
Language:English
Date of Publication (online):2005/06/21
Year of first Publication:1997
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2005/06/21
Issue:Version of 23 October 1997
Note:
Version of 23 October 1997. Talk at the 2nd Frankfurt-Krakow Operator Theory Seminar, Iagellonian University, Krakow, Poland, 7-11 April 1997, Archive: math-ph/9811002
Source:Version of 23 October 1997. Talk at the 2nd Frankfurt-Krakow Operator Theory Seminar, Iagellonian University, Krakow, Poland, 7-11 April 1997, Archive: math-ph/9811002
HeBIS-PPN:224947362
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoDeutsches Urheberrecht