Communications in Mathematical Physics A Sharpened Nuclearity Condition and the Uniqueness of the Vacuum in QFT

Communications in Mathematical Physics A Sharpened Nuclearity Condition and the Uniqueness of the Vacuum in QFT
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数学物理中的通讯 尖锐的核条件和 QFT 中真空的独特性

DOI:
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发表时间:
2008
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通讯作者:
W. Dybalski
W. Dybalski
中科院分区:
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文献类型:
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作者:
W. Dybalski

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它表明,只有一个真空状态可以准备一个有限的能量,它出现,特别是作为一个限制下的大类时平移的物理状态在任何理论,满足在这项工作中提出的相空间条件。这个新的判据,涉及到孤立子系统的能量可加性的概念,在大质量自由场理论中得到了验证。分析需要非常详细的结果,在这个模型中的本地运营商的动量转移。
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.