Bulk entropy in loop quantum gravity

被引:29
|
作者
Livine, Etera R. [1 ]
Terno, Daniel R. [2 ]
机构
[1] Ecole Normale Super Lyon, Phys Lab, CNRS, UMR 5672, F-69364 Lyon 07, France
[2] Macquarie Univ, Dept Phys, Ctr Quantum Comp Technol, Sydney, NSW 2109, Australia
关键词
loop quantum gravity; entropy; black hole; holographic principle; spin network coarse-graining;
D O I
10.1016/j.nuclphysb.2007.10.027
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In the framework of loop quantum gravity (LQG), we generalize previous boundary state counting for black hole entropy [E.R. Livine, D.R. Terno, Quantum black holes: Entropy and entanglement on the horizon, Nucl. Phys. B 741 (2006) 13 1, gr-qc/0508085] to a full bulk state counting. After suitable gauge fixing, we show how to compute the bulk entropy of a bounded region of space (the "black hole") with fixed boundary conditions. This allows to study in detail the relationship between the entropy and the boundary area and to identify a holographic regime for LQG where the leading order of the entropy scales with the area. In this regime we can fine tune the factor between entropy and area without changing the Immirzi parameter. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:138 / 153
页数:16
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