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Passivity and microlocal spectrum condition

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arxiv math-ph/0002021 v2 pith:L4PCHS2H submitted 2000-02-08 math-ph gr-qchep-thmath.MP

Passivity and microlocal spectrum condition

classification math-ph gr-qchep-thmath.MP
keywords spectrumconditionfieldsmicrolocalpassivequantumstatestwo-point
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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-point 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.

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  1. Stress-energy tensor of quantized scalar fields in thermal states on a zero-tidal wormhole

    gr-qc 2026-06 unverdicted novelty 7.0

    Stress-energy tensor of quantized massive scalar fields in thermal states on zero-tidal wormholes satisfies Morris-Thorne conditions only for bounded masses and temperatures below a mass-dependent critical value.