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Communications in Mathematical Physics
Article . 2000 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 2000
License: arXiv Non-Exclusive Distribution
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Localization Regions of Local Observables

Localization regions of local observables
Authors: Kuckert, Bernd;

Localization Regions of Local Observables

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

Country
Netherlands
Related Organizations
Keywords

quasilocal algebra, Quantum Physics, 330, Black holes, nontrivial observable, FOS: Physical sciences, wedge additivity, Mathematical Physics (math-ph), localization region, Axiomatic quantum field theory; operator algebras, nonempty-intersection theorem, locality, Haag-Kastler nets, empty-intersection theorem, wedge duality, observable, \(2+1\) or more spacetime dimensions, Unruh-effect, Quantum Physics (quant-ph), Mathematical Physics

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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Average
Average
Green
bronze