$\theta $-splitting densities and reflection positivity

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-04-08 DOI:10.1007/s11005-024-01799-8

Jobst Ziebell

引用次数: 0

Abstract

A simple condition is given that is sufficient to determine whether a measure that is absolutely continuous with respect to a Gaußian 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.

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$$\theta $$ -分裂密度和反射正性

本文给出了一个简单的条件，足以判定相对于分布空间上的高斯度量而言绝对连续的度量是否为反射正量度。它很容易地将传统的网格结果推广到抽象的环境中，从而构建出许多在网格上不被支持的反射正量度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.

\(\theta \)-splitting densities and reflection positivity

Abstract