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This article is cited in 8 scientific papers (total in 8 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.
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
Linking options:
https://www.mathnet.ru/eng/tmf9338https://doi.org/10.4213/tmf9338 https://www.mathnet.ru/eng/tmf/v195/i1/p130
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Abstract page: | 309 | Full-text PDF : | 71 | References: | 47 | First page: | 14 |
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