A Construction of Euclidean Invariant, Reflection Positive Measures on a Compactification of Distributions

Abstract

A simple construction is given of a class of Euclidean invariant, reflection positive measures on a compactification of the space of distributions. An unusual feature is that the regularizations used are not reflection positive.

12 pages, typos fixed, several points clarified with no change to the results, one reference added

References in corpus (3)

• Markov quantum fields on a manifold
• Reflection Positivity and Monotonicity
• On the Ashtekar-Lewandowski Measure as a Restriction of the Product One

Cited by in corpus (1)

• On the Construction of Euclidean Invariant and Reflection Positive Measures on the Cylindrical Compactification of Distributions