Construction of non-trivial relativistic quantum fields in arbitrary space-time dimension via superposition of free fields
Mathematical Physics
2021-03-25 v2 math.MP
Abstract
We construct Schwinger functions as the superposition of Schwinger functions which correspond to those of free fields with sharp masses . We prove that all axioms of Osterwalder and Schrader are satisfied. This construction works independently of the space-time dimension . The Schwinger functions under consideration are the moments of a non-Gaussian measure on the space of tempered distributions .
Keywords
Cite
@article{arxiv.2103.11473,
title = {Construction of non-trivial relativistic quantum fields in arbitrary space-time dimension via superposition of free fields},
author = {Martin Grothaus and Andreas Nonnenmacher},
journal= {arXiv preprint arXiv:2103.11473},
year = {2021}
}
Comments
The proof of the cluster property (E4) for the superposition is wrong. Yoh Tanimoto and Wojciech Dybalski gave a counterexample s.t. the statement of cluster property can't hold in its full generality