Pré-Publication, Document De Travail Année : 2021

Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes

Christian Gérard
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Théo Stoskopf

Résumé

We consider massive Dirac equations on asymptotically static spacetimes with a Cauchy surface of bounded geometry. We prove that the associated quantized Dirac field admits in and out states, which are asymptotic vacuum states when some time coordinate tends to $\mp\infty$. We also show that the in /out states are Hadamard states. (new version with some typos corrected).

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Dates et versions

hal-03325659 , version 1 (25-08-2021)
hal-03325659 , version 2 (09-10-2021)

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Christian Gérard, Théo Stoskopf. Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes. 2021. ⟨hal-03325659v2⟩
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