Passivity and microlocal spectrum condition

Sahlmann H, Verch R (2000)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2000

Journal

Communications in Mathematical Physics Springer Verlag (Germany)

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

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.

Authors with CRIS profile

Hanno Sahlmann Professur für Theoretische Physik

Involved external institutions

Universität Leipzig DE Germany (DE)

How to cite

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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