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Reeh-Schlieder theorem for ultrahyperfunctional Wightman theory. (English) Zbl 1192.46041

Summary: It will be shown that the Reeh-Schlieder property holds for states of quantum fields for ultrahyperfunctional Wightman theory. As by-product, it is shown that the Reeh-Schlieder property also holds for states of quantum fields on a non-commutative Minkowski space in the ultrahyperfunctional setting.

MSC:

46F15 Hyperfunctions, analytic functionals
46F12 Integral transforms in distribution spaces
46F20 Distributions and ultradistributions as boundary values of analytic functions
81T05 Axiomatic quantum field theory; operator algebras
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