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Open access
Date
2014-12Type
- Journal Article
ETH Bibliography
yes
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Abstract
We formulate a generalized concept of asymptotic completeness and show that it holds in any Haag–Kastler quantum field theory with an upper and lower mass gap. It remains valid in the presence of pairs of oppositely charged particles in the vacuum sector, which invalidate the conventional property of asymptotic completeness. Our result can be restated as a criterion characterizing a class of theories with complete particle interpretation in the conventional sense. This criterion is formulated in terms of certain asymptotic observables (Araki–Haag detectors) whose existence, as strong limits of their approximating sequences, is our main technical result. It is proven with the help of a novel propagation estimate, which is also relevant to scattering theory of quantum mechanical dispersive systems. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000090609Publication status
publishedExternal links
Journal / series
Communications in Mathematical PhysicsVolume
Pages / Article No.
Publisher
SpringerOrganisational unit
03355 - Graf, Gian Michele / Graf, Gian Michele
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.More
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ETH Bibliography
yes
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