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- W3178316654 abstract "We consider the global Hadamard condition in algebraic QFT in curved spacetime, pointing out the existence of a technical problem in the literature concerning well-posedness of the global Hadamard parametrix in normal neighbourhoods of Cauchy surfaces. We discuss in particular the definition of the (signed) geodesic distance $sigma$ and related structures in an open neighbourhood of the diagonal of $Mtimes M$ larger than $Utimes U$, for a normal convex neighborhood $U$, where $(M,g)$ is a Riemannian or Lorentzian (smooth Hausdorff paracompact) manifold. We eventually propose a quite natural solution which slightly changes the original definition by B.S. Kay and R.M. Wald and relies upon some non-trivial consequences of paracompactness property. The proposed re-formulation is in agreement with M.J. Radzikowski's microlocal version of the Hadamard condition." @default.
- W3178316654 created "2021-07-19" @default.
- W3178316654 creator A5082119328 @default.
- W3178316654 date "2021-07-10" @default.
- W3178316654 modified "2023-09-27" @default.
- W3178316654 title "On the global Hadamard parametrix in QFT and the signed squared geodesic distance defined in domains larger than convex normal neighbourhoods" @default.
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