利用Backus-Gilbert正则化研究非零温度下的NRQCD Υ谱
The NRQCD $Υ$ spectrum at non-zero temperature using Backus-Gilbert regularisations
AI总结：
本文在格点NRQCD框架下，利用Backus-Gilbert正则化及其两种变体方法，从Fastsum合作组的第二代各向异性格点组态中提取非零温度下的底偶素谱函数，以研究重介子性质随温度的变化。
摘要：
理解重介子性质随温度升高而发生的变化，对于深入认识夸克-胶子等离子体至关重要。介子质量和衰变宽度的信息编码在介子谱函数中，原则上可以通过广义拉普拉斯变换从欧氏关联函数中提取。然而，对于格点关联函数而言，这一逆问题是不适定的，需要正则化处理。在这项工作中，我们展示了在格点NRQCD框架内利用Backus-Gilbert正则化获得的底偶素谱函数的最新结果，同时还采用了另外两种变体方法，其中一种通常被称为HLT方法。我们的分析使用了由Fastsum合作组产生的第二代各向异性格点组态。
英文摘要：
Understanding how the properties of heavy mesons change as temperature increases is crucial for gaining valuable insights into the quark-gluon plasma. Information about meson masses and decay widths is encoded in the meson spectral function, which, in principle, can be extracted from Euclidean correlation functions via generalised Laplace transformations. However, this inverse problem is ill-posed for lattice correlation functions and requires regularisation. In this work, we present the latest results for bottomonium spectral functions obtained within the lattice NRQCD framework using the Backus-Gilbert regularisation, along with two other variants, one of which is commonly referred to as the HLT method. Our analysis employs Generation 2L anisotropic lattice configurations produced by the \textsc{Fastsum} collaboration.
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