• Corpus ID: 237303834

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

@inproceedings{Gerard2021HadamardSF,
  title={Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry},
  author={Christian G'erard and Th'eo Stoskopf},
  year={2021}
}
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. 
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