薛定谔背景的关联函数
Correlation functions for Schrödinger backgrounds
摘要：
我们为三维薛定谔时空编制了全息字典。在我们的分析中的第一步涉及正确识别的双源的径向膨胀的散装领域，这原来是令人惊讶的微妙。我们详细讨论了线性化水平上的全息重整化过程，并全息计算了能量动量张量和一个无关矢量算符的两点函数。我们讨论了多迹反项的出现，在我们的结果中参数化的方案依赖，确定非相对论性沃德恒等式，并与文献中的预期进行比较。我们的研究结果导致有价值的一般见解全息时空是不是一个渐近AdS形式。
英文摘要：
We work out the holographic dictionary for the three-dimensional Schrödinger spacetimes. The first step in our analysis involves the correct identification of the dual sources from the radial expansion of the bulk fields, which turns out to be surprisingly subtle. We discuss in detail the holographic renormalization procedure at the linearized level and holographically compute the two-point functions of the energy-momentum tensor and an irrelevant vector operator. We discuss the appearance of multi-trace counterterms, parametrize the scheme dependence in our results, identify the non-relativistic Ward identities and compare them with expectations in the literature. Our results lead to valuable general insights regarding holography for spacetimes that are not of an asymptotically AdS form.
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