Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces

DOI10.1007/s00220-019-03349-zzbMath1414.58002arXiv1706.08942OpenAlexW2962949206MaRDI QIDQ1733811

Christian Gérard, Michał Wrochna

Publication date: 21 March 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08942

zbMATH Keywords

analytic Hadamard statesKlein-Gordon quantum field theoryreal-analytic Cauchy surfacesreal-analytic globally hyperbolic space-time

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Real-analytic and Nash manifolds (58A07) Real-analytic sets, complex Nash functions (32C07)

Related Items

Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups, The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Møller operators, Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory, A Gutzwiller trace formula for stationary space-times, Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds, Spectral asymptotics on stationary space-times, Weakly coupled local particle detectors cannot harvest entanglement, Wick rotation of the time variables for two-point functions on analytic backgrounds, The cosmological semiclassical Einstein equation as an infinite-dimensional dynamical system, Diagonalization of elliptic systems via pseudodifferential projections, The Hartle–Hawking–Israel state on spacetimes with stationary bifurcate Killing horizons

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