Quantum “violation” of Dirichlet boundary condition

Dirichlet boundary conditions have been widely used in general relativity. They seem at odds with the holographic property of gravity simply because a boundary configuration can be varying and dynamic instead of dying out as required by the conditions. In this work we report what should be a tension...

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Bibliographic Details
Main Author: I.Y. Park
Format: Article
Language:English
Published: Elsevier 2017-02-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931630764X
Description
Summary:Dirichlet boundary conditions have been widely used in general relativity. They seem at odds with the holographic property of gravity simply because a boundary configuration can be varying and dynamic instead of dying out as required by the conditions. In this work we report what should be a tension between the Dirichlet boundary conditions and quantum gravitational effects, and show that a quantum-corrected black hole solution of the 1PI action no longer obeys, in the naive manner one may expect, the Dirichlet boundary conditions imposed at the classical level. We attribute the ‘violation’ of the Dirichlet boundary conditions to a certain mechanism of the information storage on the boundary.
ISSN:0370-2693
1873-2445