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arXiv · 2108.11955

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

Christian Gérard·Théo Stoskopf
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Abstract

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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Christian Gérard, Théo Stoskopf. 2021-08-26. Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes. https://doi.org/10.1007/s11005-022-01556-9

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