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arXiv 0903.1844hep-thcond-mat.other
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非相对论性AdS/CFT correspondence中的关联函数

Correlation functions in the non-relativistic AdS/CFT correspondence

Carlos A. Fuertes, Sergej Moroz

备注：
32 pages, 7 figures; v2: typos corrected, references added and additional discussion about the case of compact number-direction, includes new appendix with the computations of the 2 and 3 point function for the compact number-direction case. The general results remain the same. Version published in Phys.Rev.D
发表信息：
Phys.Rev.D79:106004,2009
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摘要：

本文研究了零温度零化学势下动力学指数z=2的薛定谔背景的全息对偶理论中标量算符的关联函数。我们提供了一个封闭的表达式的关联函数在树级的傅立叶变换的相应的n点函数计算纯AdS在光锥框架。在循环级别，这种映射不成立，在适当的正则化之后，必须使用完整的薛定谔背景。我们显式计算的三点函数比较它与特定的三点函数的非相对论性理论的冷原子在么正性。我们发现协议的3点功能，包括不固定的对称性的一部分，到一个整体的归一化常数。

英文摘要：

We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schroedinger background with dynamical exponent z=2 at zero temperature and zero chemical potential. We offer a closed expression of the correlation functions at tree level in terms of Fourier transforms of the corresponding n-point functions computed from pure AdS in the lightcone frame. At the loop level this mapping does not hold and one has to use the full Schroedinger background, after proper regularization. We explicitly compute the 3-point function comparing it with the specific 3-point function of the non-relativistic theory of cold atoms at unitarity. We find agreement of both 3-point functions, including the part not fixed by the symmetry, up to an overall normalization constant.

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