Sahlmann H, Verch R (2000)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2000
Publisher: Springer Verlag (Germany)
Book Volume: 214
Pages Range: 705-731
Journal Issue: 3
URI: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0034343139&origin=inward
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.
APA:
Sahlmann, H., & Verch, R. (2000). Passivity and microlocal spectrum condition. Communications in Mathematical Physics, 214(3), 705-731.
MLA:
Sahlmann, Hanno, and Rainer Verch. "Passivity and microlocal spectrum condition." Communications in Mathematical Physics 214.3 (2000): 705-731.
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