Decoding the hologram: Scalar fields interacting with gravity

被引:76
|
作者
Kabat, Daniel [1 ]
Lifschytz, Gilad [2 ]
机构
[1] CUNY Herbert H Lehman Coll, Dept Phys & Astron, Bronx, NY 10468 USA
[2] Univ Haifa, Dept Math & Phys, IL-36006 Kiryat, Tivon, Israel
来源
PHYSICAL REVIEW D | 2014年 / 89卷 / 06期
基金
以色列科学基金会; 美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.89.066010
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We construct smeared conformal field theory (CFT) operators which represent a scalar field in anti-de Sitter (AdS) space interacting with gravity. The guiding principle is microcausality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a correct and convenient criterion for constructing the appropriate CFT operators is to demand microcausality in a three-point function with a boundary Weyl tensor and another boundary scalar. The resulting bulk observables transform in the correct way under AdS isometries and commute with boundary scalar operators at spacelike separation, even in the presence of metric perturbations.
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页数:19
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