Generalized Wentzell Boundary Conditions and Quantum Field Theory

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 rel...

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Bibliographic Details
Published inAnnales Henri Poincaré Vol. 19; no. 1; pp. 163 - 187
Main Author Zahn, Jochen
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2018
Springer Nature B.V
Subjects
Boundary conditions
Cauchy problems
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Field theory
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Quantum theory
Relativity Theory
Theoretical
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-017-0629-3