Physics – Mathematical Physics
Scientific paper
2007-06-27
Commun.Math.Phys.283:523-542,2008
Physics
Mathematical Physics
20 pages, LaTeX. As appeared in Communications in Mathematical Physics
Scientific paper
10.1007/s00220-008-0514-5
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.
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