Generalized Wentzell boundary conditions and holography

Jochen Zahn
December 17, 2015
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.
open access link doi:10.1007/s00023-017-0629-3
@article{Zahn:2015due, author = "Zahn, Jochen", title = "{Generalized Wentzell boundary conditions and quantum field theory}", journal = "Annales Henri Poincare", volume = "19", year = "2018", number = "1", pages = "163-187", doi = "10.1007/s00023-017-0629-3", eprint = "1512.05512", archivePrefix = "arXiv", primaryClass = "math-ph", SLACcitation = "%%CITATION = ARXIV:1512.05512;%%" }

Keywords: 
holography, dimensional reduction, generalized free fields, generalized Wentzell boundary conditions

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