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arXiv 0903.2455hep-th
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非相对论全息中的关联函数

Correlation Functions in Non-Relativistic Holography

Anastasia Volovich, Congkao Wen

摘要:

最近构造的具有薛定谔对称性的引力解为与某些冷原子系统相关的非相对论性场论类型提供了AdS/CMT型对偶性的新例子。本文利用重力场计算了标量场的n点关联函数,通过特殊的傅里叶变换,将计算简化为普通AdS空间中的计算。我们计算了3-和4-点函数的相关积分,并表明结果与薛定谔不变性的要求是一致的,我们也计算了一般n-点函数的影响。

英文摘要:

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.

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