English

$\theta$-splitting Densities and Reflection Positivity

Mathematical Physics 2024-10-08 v2 math.MP

Abstract

A simple condition is given that is sufficient to determine whether a measure that is absolutely continuous with respect to a Gau{\ss}ian measure on the space of distributions is reflection positive. It readily generalises conventional lattice results to an abstract setting, enabling the construction of many reflection positive measures that are not supported on lattices.

Keywords

Cite

@article{arxiv.2308.01051,
  title  = {$\theta$-splitting Densities and Reflection Positivity},
  author = {Jobst Ziebell},
  journal= {arXiv preprint arXiv:2308.01051},
  year   = {2024}
}
R2 v1 2026-06-28T11:46:18.457Z