Quantum fields obtained from convoluted generalized white noise never have positive metric
Mathematical Physics
2016-03-23 v2 math.MP
Abstract
It is proven that the relativistic quantum fields obtained from analytic continuation of convoluted generalized (L\'evy 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.
Cite
@article{arxiv.1506.01329,
title = {Quantum fields obtained from convoluted generalized white noise never have positive metric},
author = {Sergio Albeverio and Hanno Gottschalk},
journal= {arXiv preprint arXiv:1506.01329},
year = {2016}
}
Comments
7 pages, no figures