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arxiv: 1512.05512 · v3 · pith:OYPBMFKSnew · submitted 2015-12-17 · 🧮 math-ph · gr-qc· hep-th· math.AP· math.MP

Generalized Wentzell boundary conditions and quantum field theory

classification 🧮 math-ph gr-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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