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Generalized Wentzell boundary conditions and quantum field theory

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arxiv 1512.05512 v3 pith:OYPBMFKS submitted 2015-12-17 math-ph gr-qchep-thmath.APmath.MP

Jochen Zahn This is my paper · ORCID
classification math-phgr-qchep-thmath.APmath.MP
keywords fieldboundaryconditionsdiscussgeneralizedwentzellbulkcauchy
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We discuss a free scalar field subject to generalized Wentzell boundary conditions. On the classical level, we prove well-posedness of the Cauchy problem and in particular causality. Upon quantization, we obtain a field that may naturally be restricted to the boundary. We discuss the holographic relation between this boundary field and the bulk field.

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Cited by 1 Pith paper

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  1. On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary

    math-ph 2019-08 conditional novelty 6.0 of 10

    Maxwell k-form solution spaces and observable algebras are constructed on globally hyperbolic spacetimes with timelike boundary, under a partially proven assumption on the existence of Green operators.

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