Correlation functions in non-relativistic holography

被引:57
作者
Volovich, Anastasia [1 ]
Wen, Congkao [1 ]
机构
[1] Brown Univ, Dept Phys, Providence, RI 02912 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2009年 / 05期
基金
美国国家科学基金会;
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence; HEAVY-ION COLLISIONS; SCHRODINGER INVARIANCE;
D O I
10.1088/1126-6708/2009/05/087
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
Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to calculate n-point correlation functions of scalar fields by reducing the computation to that in ordinary AdS space via a particular Fourier transform. We evaluate the relevant integrals for 3- and 4-point functions and show that the results are consistent with the requirements of Schrodinger invariance, the implications of which we also work out for general n-point functions.
引用
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页数:16
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