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

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).

arXiv admin note: text overlap with arXiv:2108.11630

References in corpus (1)

• Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry

Cited by in corpus (1)

• An index theorem on asymptotically static spacetimes with compact Cauchy surface