Set-indexed random fields and algebraic Euclidean quantum field theory
Mathematical Physics
2022-10-18 v3 math.MP
Operator Algebras
Probability
Abstract
We present a construction of non-Gaussian Borel measures on the space of continuous functions defined on the space of all balls in Euclidean space of arbitrary dimension. These measures induce nets of operator algebras satisfying the Haag-Kastler axioms of algebraic quantum field theory and may be interpreted as (nonlinear) continuous transformations of the free scalar massive Euclidean quantum field.
Keywords
Cite
@article{arxiv.2108.13443,
title = {Set-indexed random fields and algebraic Euclidean quantum field theory},
author = {Svetoslav Zahariev},
journal= {arXiv preprint arXiv:2108.13443},
year = {2022}
}
Comments
15 pages, 2 figures