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