Semiclassical theories as initial value problems

DOI10.1063/1.5122782zbMath1439.81045arXiv1907.09960OpenAlexW2963767653MaRDI QIDQ5110769

Tonatiuh Miramontes, Daniel Sudarsky, Benito A. Juárez-Aubry

Publication date: 22 May 2020

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

Full work available at URL: https://arxiv.org/abs/1907.09960

zbMATH Keywords

Klein-Gordon equationEinstein field equationsgeneral relativitysemiclassical gravitysemiclassical theoriesaxiomatic quantum field theorycovariant formulationrenormalization and regularization

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Axiomatic quantum field theory; operator algebras (81T05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items

On the initial value problem for semiclassical gravity without and with quantum state collapses, Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes, Semiclassical gravity in static spacetimes as a constrained initial value problem, Linear stability of semiclassical theories of gravity, The cosmological semiclassical Einstein equation as an infinite-dimensional dynamical system, Existence and uniqueness of solutions of the semiclassical Einstein equation in cosmological models

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