A Sharpened Nuclearity Condition and the Uniqueness of the Vacuum in QFT

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...

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Veröffentlicht in:	Communications in mathematical physics 2008-10, Vol.283 (2), p.523-542
1. Verfasser:	Dybalski, Wojciech
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Exact sciences and technology Field theory Mathematical and Computational Physics Mathematical methods in physics Mathematical Physics Momentum transfer Other topics in mathematical methods in physics Physics Physics and Astronomy Quantum Physics Relativity Theory Subsystems Theoretical Translations
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Zusammenfassung:	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.
ISSN:	0010-3616 1432-0916
DOI:	10.1007/s00220-008-0514-5