A sharpened nuclearity condition and the uniqueness of the vacuum in QFT
arXiv:0706.4049 · doi:10.1007/s00220-008-0514-5
Abstract
It is shown that only one vacuum state can be prepared with a finite amount of energy and it appears, in particular, as a limit of physical states under large timelike translations in any theory which satisfies a phase space condition proposed in this work. This new criterion, related to the concept of additivity of energy over isolated subsystems, is verified in massive free field theory. The analysis entails very detailed results about the momentum transfer of local operators in this model.
arXiv comment20 pages, LaTeX. As appeared in Communications in Mathematical Physics
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- Coincidence Arrangements of Local Observables and Uniqueness of the Vacuum in QFT
- Ground state representations of some non-rational conformal nets