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arXiv 1011.0901hep-thmath-phmath.MP
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de Sitter空间中的局部化

Localizability in de Sitter space

N. Yokomizo, J. C. A. Barata

摘要:

本文对de Sitter空间中的有质量中性标量场定义了一个类似的Newton-Wigner位置算符。该理论的单粒子子空间由Klein-Gordon方程在Hadamard条件下选择的正能量解组成,用de Sitter群的一个不可约表示确定。类似于怀特曼所写的闵可夫斯基空间中的领域的局部化的假设制定它,并存在一个唯一的解决方案。一个简单的表达式的时间演化的运营商。

英文摘要:

An analogue of the Newton-Wigner position operator is defined for a massive neutral scalar field in de Sitter space. The one-particle subspace of the theory, consisting of positive-energy solutions of the Klein-Gordon equation selected by the Hadamard condition, is identified with an irreducible representation of de Sitter group. Postulates of localizability analogous to those written by Wightman for fields in Minkowski space are formulated on it, and a unique solution is shown to exist. A simple expression for the time-evolution of the operator is presented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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