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Quantum “violation” of Dirichlet boundary condition

Quantum ``violation'' of Dirichlet boundary condition
Authors: Park, I.Y.;

Quantum “violation” of Dirichlet boundary condition

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.

14 pages, 3 figures, comments added on recent lqg works on boundary dynamics, refs added, version to appear in PLB

Related Organizations
Keywords

High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Black holes, Physics, QC1-999, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, General Relativity and Quantum Cosmology, Gravitational interaction in quantum theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Average
Average
Top 10%
Green
gold