Generalized Wentzell boundary conditions and quantum field theory
arXiv:1512.05512 · doi:10.1007/s00023-017-0629-3
Abstract
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.
27 pages; v2: minor corrections, references added; v3: final version, title changed
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- Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary
- Ground State for the Klein-Gordon field in anti-de Sitter spacetime with dynamical Wentzell boundary conditions
- Quantum field theory with dynamical boundary conditions and the Casimir effect: Coherent states
- Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes
- Blow--up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources
- The semi-classical energy of open Nambu-Goto strings
- On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary