The Feynman propagator on perturbations of Minkowski space

DOI10.1007/s00220-015-2520-8zbMath1335.81085arXiv1410.7113OpenAlexW3102202530MaRDI QIDQ5962913

Jesse Gell-Redman, Nick Haber, András Vasy

Publication date: 25 February 2016

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

Full work available at URL: https://arxiv.org/abs/1410.7113

zbMATH Keywords

wave operatorFeynman propagatorHadamard statesperturbation of Minkowski spaceWick rotation

Mathematics Subject Classification ID

Applications of manifolds of mappings to the sciences (58D30) Applications of local differential geometry to the sciences (53B50) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Second-order hyperbolic equations (35L10) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items

The extension of distributions on manifolds, a microlocal approach ⋮ Feynman propagators on static spacetimes ⋮ Dynamical residues of Lorentzian spectral zeta functions ⋮ The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes ⋮ Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces ⋮ A remark on the essential self-adjointness for Klein-Gordon-type operators ⋮ Analysis of linear waves near the Cauchy horizon of cosmological black holes ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ Conformal extension of the Bunch-Davies state across the de Sitter boundary ⋮ Existence and Asymptotics of Nonlinear Helmholtz Eigenfunctions ⋮ Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces ⋮ Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes ⋮ Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes ⋮ On the positivity of propagator differences ⋮ Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry ⋮ Wick rotation of the time variables for two-point functions on analytic backgrounds ⋮ Essential self-adjointness of real principal type operators ⋮ The APS-index and the spectral flow

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