Feynman propagators on static spacetimes

DOI10.1142/S0129055X1850006XzbMath1394.35407arXiv1608.06441MaRDI QIDQ4568056

Jan Dereziński, Daniel Siemssen

Publication date: 15 June 2018

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

Full work available at URL: https://arxiv.org/abs/1608.06441

zbMATH Keywords

quantum field theoryKlein-Gordon equationcurved spacetimelimiting absorption principleFeynman propagator

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) One-parameter semigroups and linear evolution equations (47D06) Wave equation (35L05) Quantum field theory on curved space or space-time backgrounds (81T20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Hyperbolic equations on manifolds (58J45)

Related Items

Dynamical residues of Lorentzian spectral zeta functions, Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups, Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces, Adiabatic ground states in non-smooth spacetimes, A remark on the essential self-adjointness for Klein-Gordon-type operators, Supersymmetric backgrounds in \((1 + 1)\) dimensions and inhomogeneous field theory, Essential self-adjointness of Klein-Gordon type operators on asymptotically static, Cauchy-compact spacetimes, Conformal extension of the Bunch-Davies state across the de Sitter boundary, 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, Green operators in low regularity spacetimes and quantum field theory, Wick rotation of the time variables for two-point functions on analytic backgrounds, Non-self-adjointness of the Klein-Gordon operator on a globally hyperbolic and geodesically complete manifold: an example, Remarks on the geodesically completeness and the smoothing effect on asymptotically Minkowski spacetimes

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