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

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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.

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  1. Département de Mathématiques, Université Paris-Saclay, 91405, Orsay Cedex, France

    Christian Gérard & Théo Stoskopf

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  1. Christian Gérard
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  2. Théo Stoskopf
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Correspondence to Christian Gérard.

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Gérard, C., Stoskopf, T. Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes. Lett Math Phys 112, 63 (2022). https://doi.org/10.1007/s11005-022-01556-9

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  • DOI: https://doi.org/10.1007/s11005-022-01556-9

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