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TMF, 2018, Volume 195, Number 1, Pages 130–154 (Mi tmf9338)  

This article is cited in 2 scientific papers (total in 2 papers)

Quantum gravitational effects on the boundary

F. James, I. Y. Park

Department of Applied Mathematics, Philander Smith College, Little Rock, USA

Abstract: Quantum gravitational effects might hold the key to some of the outstanding problems in theoretical physics. We analyze the perturbative quantum effects on the boundary of a gravitational system and the Dirichlet boundary condition imposed at the classical level. Our analysis reveals that for a black hole solution, there is a contradiction between the quantum effects and the Dirichlet boundary condition: the black hole solution of the one-particle-irreducible action no longer satisfies the Dirichlet boundary condition as would be expected without going into details. The analysis also suggests that the tension between the Dirichlet boundary condition and loop effects is connected with a certain mechanism of information storage on the boundary.

Keywords: Dirichlet boundary condition, quantum correction, foliation.

DOI: https://doi.org/10.4213/tmf9338

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English version:
Theoretical and Mathematical Physics, 2018, 195:1, 607–627

Bibliographic databases:

Document Type: Article
Received: 16.01.2017
Revised: 11.05.2017

Citation: F. James, I. Y. Park, “Quantum gravitational effects on the boundary”, TMF, 195:1 (2018), 130–154; Theoret. and Math. Phys., 195:1 (2018), 607–627

Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9338
  • http://mi.mathnet.ru/eng/tmf/v195/i1/p130

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Park I.Y., “One-Loop Renormalization of a Gravity-Scalar System”, Eur. Phys. J. C, 77:5 (2017), 337  crossref  isi
    2. Nurmagambetov A.J., Park I.Y., “Uquantum-Induced Trans-Planckian Energy Near Horizon”, J. High Energy Phys., 2018, no. 5, 167  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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