Reeh-Schlieder Theorem for Ultrahyperfunctional Wightman Theory

TL;DR

This paper demonstrates that the Reeh-Schlieder property applies to quantum field states within ultrahyperfunctional Wightman theory, including non-commutative Minkowski space, expanding the understanding of quantum field properties.

Contribution

It establishes the Reeh-Schlieder property for ultrahyperfunctional quantum fields and extends this to non-commutative Minkowski space.

Findings

Reeh-Schlieder property holds for ultrahyperfunctional Wightman fields

Property also valid on non-commutative Minkowski space

Enhances understanding of quantum field states in advanced frameworks

Abstract

It will be shown that the Reeh-Schlieder property holds for states of quantum fields for ultrahyperfunctional Wightman theory. As by product, it is shown that the Reeh-Schlieder property also holds for states of quantum fields on a non-commutative Minkowski space in the setting ultrahyperfunctional.