Construction of Hadamard states by characteristic Cauchy problem

  title={Construction of Hadamard states by characteristic Cauchy problem},
  author={C. G'erard and M. Wrochna},
  journal={arXiv: Mathematical Physics},
We construct Hadamard states for Klein-Gordon fields in a spacetime $M_{0}$ equal to the interior of the future lightcone $C$ from a base point $p$ in a globally hyperbolic spacetime $(M, g)$. Under some regularity conditions at future infinity of $C$, we identify a boundary symplectic space of functions on $C$, which allows to construct states for Klein-Gordon quantum fields in $M_{0}$ from states on the CCR algebra associated to the boundary symplectic space. We formulate the natural… Expand

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