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arXiv · 1506.01329

Quantum fields obtained from convoluted generalized white noise never have positive metric

Sergio Albeverio·Hanno Gottschalk
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Abstract

It is proven that the relativistic quantum fields obtained from analytic continuation of convoluted generalized (Lévy type) noise fields have positive metric, if and only if the noise is Gaussian. This follows as an easy observation from a criterion by K. Baumann, based on the Dell'Antonio-Robinson-Greenberg theorem, for a relativistic quantum field in positive metric to be a free field.

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Sergio Albeverio, Hanno Gottschalk. 2016-01-25. Quantum fields obtained from convoluted generalized white noise never have positive metric. https://doi.org/10.1007/s11005-016-0817-y

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