Passivity and Microlocal Spectrum Condition |
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Authors: | Hanno Sahlmann Rainer Verch |
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Institution: | Institut für Theoretische Physik, Universit?t G?ttingen, Bunsenstr. 9, 37073 G?ttingen, Germany.?E-mail: sahlmann@theorie.physik.uni-goettingen.de; verch@theorie.physik.uni-goettingen.de, DE
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Abstract: | In the setting of vector-valued quantum fields obeying a linear wave-equation in a globally hyperbolic, stationary spacetime,
it is shown that the two-point functions of passive quantum states (mixtures of ground- or KMS-states) fulfill the microlocal
spectrum condition (which in the case of the canonically quantized scalar field is equivalent to saying that the two-pnt function
is of Hadamard form). The fields can be of bosonic or fermionic character. We also give an abstract version of this result
by showing that passive states of a topological *-dynamical system have an asymptotic pair correlation spectrum of a specific
type.
Received: 9 February 2000 / Accepted: 7 June 2000 |
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Keywords: | |
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