Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions

@article{Dappiaggi2016HadamardSF,
  title={Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions},
  author={Claudio Dappiaggi and Hugo R. C. Ferreira},
  journal={Physical Review D},
  year={2016},
  volume={94},
  pages={125016}
}
We consider a real, massive scalar field on ${\rm PAdS}_{d+1}$, the Poincar\'e domain of the $(d+1)$-dimensional anti-de Sitter (AdS) spacetime. We first determine all admissible boundary conditions that can be applied on the conformal boundary, noting that there exist instances where "bound states" solutions are present. Then, we address the problem of constructing the two-point function for the ground state satisfying those boundary conditions, finding ultimately an explicit closed form. In… Expand

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