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