Quantum "violation" of Dirichlet boundary condition

I. Y. Park

doi:10.1016/j.physletb.2016.12.026

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arXiv · 1609.06251

Quantum "violation" of Dirichlet boundary condition

I. Y. Park

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Abstract

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.

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I. Y. Park. 2016-12-09. Quantum "violation" of Dirichlet boundary condition. https://doi.org/10.1016/j.physletb.2016.12.026

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