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Article Dans Une Revue Lett.Math.Phys. Année : 2019

Wick rotation of the time variables for two-point functions on analytic backgrounds

Michał Wrochna
  • Fonction : Auteur

Résumé

We set up a general framework for Calderón projectors (and their generalization to non-compact manifolds), associated with complex Laplacians obtained by Wick rotation of a Lorentzian metric. In the analytic case, we use this to show that the Laplacian’s Green’s functions have analytic continuations whose boundary values are two-point functions of analytic Hadamard states. The result does not require the metric to be stationary. As an aside, we describe how thermal states are obtained as a special case of this construction if the coefficients are time independent.

Dates et versions

hal-01863073 , version 1 (28-08-2018)

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Michał Wrochna. Wick rotation of the time variables for two-point functions on analytic backgrounds. Lett.Math.Phys., 2019, 110 (3), pp.585-609. ⟨10.1007/s11005-019-01230-7⟩. ⟨hal-01863073⟩
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