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Generalized Wentzell Boundary Conditions and Quantum Field Theory

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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.

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  1. Institut für Theoretische Physik, Universität Leipzig, Brüderstr. 16, 04103, Leipzig, Germany

    Jochen Zahn

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  1. Jochen Zahn
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Correspondence to Jochen Zahn.

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Communicated by Karl-Henning Rehren.

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Zahn, J. Generalized Wentzell Boundary Conditions and Quantum Field Theory. Ann. Henri Poincaré 19, 163–187 (2018). https://doi.org/10.1007/s00023-017-0629-3

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  • DOI: https://doi.org/10.1007/s00023-017-0629-3

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