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

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.

References in corpus (2)

• Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry
• $L^p$-spectrum of the Dirac operator on products with hyperbolic spaces

Cited by in corpus (4)

• Quantum Field Theory in Curved Spacetime (2nd Edition)
• An index theorem on asymptotically static spacetimes with compact Cauchy surface
• The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States
• Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes