The Reeh–Schlieder Property for Quantum Fields on Stationary Spacetimes

被引:0
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作者
Alexander Strohmaier
机构
[1] Institut für Theoretische Physik,
[2] Universität Leipzig,undefined
[3] Augustusplatz 10/11,undefined
[4] 04109 Leipzig,undefined
[5] Germany.¶E-mail: alexander.strohmaier@itp.uni-leipzig.de,undefined
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关键词
Time Flow; Hyperbolic Equation; Stationary Spacetime; Proca Field; Linear Quantum;
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摘要
We show that as soon as a linear quantum field on a stationary spacetime satisfies a certain type of hyperbolic equation, the (quasifree) ground- and KMS-states with respect to the canonical time flow have the Reeh–Schlieder property. We also obtain an analog of Borchers' timelike tube theorem. The class of fields we consider contains the Dirac field, the Klein–Gordon field and the Proca field.
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页码:105 / 118
页数:13
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