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arXiv · 2108.11630

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

Christian Gérard·Theo Stoskopf
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Abstract

We consider Dirac equations on even dimensional Lorentzian manifolds of bounded geometry with a spin structure. For the associated free quantum field theory, we construct pure Hadamard states using global pseudodifferential calculus on a Cauchy surface. We also give two constructions of Hadamard states for Dirac fields for arbitrary spacetimes with a spin structure.(2nd revised version). Will appear in Rev. Math. Phys.

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Christian Gérard, Theo Stoskopf. 2021-08-26. Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry. https://doi.org/10.1142/s0129055x22500088

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