Set-indexed random fields and algebraic Euclidean quantum field theory (2108.13443v3)

Published 30 Aug 2021 in math-ph, math.MP, math.OA, and math.PR

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.

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Authors (1)

Svetoslav Zahariev

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