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arXiv · 2103.11473

Construction of non-trivial relativistic quantum fields in arbitrary space-time dimension via superposition of free fields

Martin Grothaus·Andreas Nonnenmacher
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Abstract

We construct Schwinger functions as the superposition of Schwinger functions which correspond to those of free fields with sharp masses $ m $. We prove that all axioms of Osterwalder and Schrader are satisfied. This construction works independently of the space-time dimension $ d $. The Schwinger functions under consideration are the moments of a non-Gaussian measure on the space of tempered distributions $ S'(\mathbb R^d) $.

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Martin Grothaus, Andreas Nonnenmacher. 2021-03-21. Construction of non-trivial relativistic quantum fields in arbitrary space-time dimension via superposition of free fields. https://arxiv.org/abs/2103.11473

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