A sharpened nuclearity condition and the uniqueness of the vacuum in QFT
Mathematical Physics
2008-11-26 v3 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.0706.4049,
title = {A sharpened nuclearity condition and the uniqueness of the vacuum in QFT},
author = {Wojciech Dybalski},
journal= {arXiv preprint arXiv:0706.4049},
year = {2008}
}
Comments
20 pages, LaTeX. As appeared in Communications in Mathematical Physics