Generalized Wentzell boundary conditions and quantum field theory
Mathematical Physics
2018-01-16 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1512.05512,
title = {Generalized Wentzell boundary conditions and quantum field theory},
author = {Jochen Zahn},
journal= {arXiv preprint arXiv:1512.05512},
year = {2018}
}
Comments
27 pages; v2: minor corrections, references added; v3: final version, title changed