Localization Regions of Local Observables
arXiv:math-ph/0002040 · doi:10.1007/s002200000313
Abstract
Exploiting the properties of the Jost-Lehmann-Dyson representation, it is shown that in 1+2 or more spacetime dimensions, a nonempty smallest localization region can be associated with each local observable (except for the c-numbers) in a theory of local observables in the sense of Araki, Haag, and Kastler. Necessary and sufficient conditions are given that observables with spacelike separated localization regions commute (locality of the net alone does not yet imply this).
32 pages, no figures
Cited by in corpus (8)
- Dynamical locality and covariance: What makes a physical theory the same in all spacetimes?
- Yet More Ado About Nothing: The Remarkable Relativistic Vacuum State
- Localization in Nets of Standard Spaces
- A Converse Hawking-Unruh Effect and dS^2/CFT Correspondance
- Modular operator for null plane algebras in free fields
- Two uniqueness results on the Unruh effect and on PCT-symmetry
- Subsystems and Independence in Relativistic Microscopic Physics
- Towards an explicit construction of local observables in integrable quantum field theories