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

Abstract

A simple construction of Euclidean invariant and reflection positive measures on the cylindrical compactification is performed under a weaker hypothesis than has recently been obtained. Moreover, the results are extended to the case when the theory under consideration has finitely many constraints.

14 pages, proof of Lemma 2 expanded and clarified with no change to the results, one reference added and one updated

References in corpus (3)

• Markov quantum fields on a manifold
• On the Ashtekar-Lewandowski Measure as a Restriction of the Product One
• A Construction of Euclidean Invariant, Reflection Positive Measures on a Compactification of Distributions

Cited by in corpus (1)

• Yang-Mills as a Constrained Gaussian