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The Reeh-Schlieder property for quantum fields on stationary space-times

Alexander Strohmaier
(
- Leipzig U.
)

Feb, 2000

22 pages

Published in:

Commun.Math.Phys. 215 (2000) 105-118

e-Print:

math-ph/0002054 [math-ph]

DOI:

10.1007/s002200000299

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Abstract:

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.

Note:

Latex2e, 22 pages Subj-class: Mathematical Physics MSC-class: 81T05; 81T20; 35J15; 35L10

axiomatic field theory
Hamiltonian formalism
quantization: 2
Hilbert space
operator: algebra
field theory: linear
field theory: scalar
field theory: vector
fermion: Dirac
Klein-Gordon equation

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Figures(0)

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