Remarks on the Reeh-Schlieder property for higher spin free fields on curved spacetimes

TL;DR

This paper extends the analysis of the Reeh-Schlieder property to higher spin free fields on curved spacetimes, demonstrating its applicability beyond scalar fields and establishing locally covariant descriptions for vector potentials and Proca fields.

Contribution

It generalizes the existence of Reeh-Schlieder states to spin 1/2 and spin 1 fields on curved backgrounds and shows these fields can be formulated as locally covariant quantum field theories.

Findings

Reeh-Schlieder property holds for higher spin free fields on curved spacetimes.

Vector potential and Proca fields can be described as locally covariant quantum fields.

Extension of the property from scalar to spinor and vector fields.

Abstract

The existence of states enjoying a weak form of the Reeh-Schlieder property has been recently established on curved backgrounds and in the framework of locally covariant quantum field theory. Since only the example of a real scalar field has been discussed, we extend the analysis to the case of massive and massless free fields either of spin 1/2 or of spin 1. In the process, it is also shown that both the vector potential and the Proca field can be described as a locally covariant quantum field theory.