The Reeh-Schlieder Property for the Dirac Field on Static Spacetimes
Alexander Strohmaier
TL;DR
This paper proves the Reeh-Schlieder property for the Dirac quantum field in static spacetimes, demonstrating that certain states are cyclic and separating for local algebras, which is important for quantum field theory foundations.
Contribution
It establishes the Reeh-Schlieder property for the Dirac field on static globally hyperbolic spacetimes, extending previous results to this specific setting.
Findings
Reeh-Schlieder property holds for ground and KMS states of the Dirac field
States are cyclic and separating for local algebras in static spacetimes
Supports the mathematical consistency of quantum field theory in curved spacetime
Abstract
We prove the Reeh-Schlieder property for the ground- and KMS-states states of the massive Dirac Quantum field on a static globally hyperbolic 4 dimensional spacetime.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Cosmology and Gravitation Theories