论文标题
动量空间功能重新归一化组的参考结果
Reference results for the momentum space functional renormalization group
论文作者
论文摘要
功能重归其化组（FRG）是一种用于量子多体现象的既定计算方法，已在局部应用，分析近似和数值实现中遭受多样化。尽管通过基准测试和先前结果的复制来实现连贯的标准，但迄今为止尚未提供系统性和全面的比较。尽管这并没有阻止出版相关的科学结果，但我们认为跨实现的建立相互同意将增强对该方法的信心。为此，我们报告了独立的FRG实施中的显式实施详细信息和数值数据，直到机器精度为止。为了证实我们计算的可重复性，我们仔细检查了文献中报告的支柱FRG结果，并讨论了我们对这些参考系统的计算。我们的意思是吸引其他群体复制和建立这组基准FRG结果，从而传播FRG社区的共同努力，以作为FRG实施的参考标准参与共享知识存储库。
The functional renormalization group (FRG), an established computational method for quantum many-body phenomena, has been subject to a diversification in topical applications, analytic approximations and numerical implementations. Despite significant efforts to accomplish a coherent standard through benchmarks and the reproduction of previous results, no systematic and comprehensive comparison has been provided until now. While this has not prevented the publication of relevant scientific results we argue that established mutual agreement across realizations will strengthen confidence in the method. To this end we report explicit implementational details and numerical data reproduced thrice in independent FRG implementations up to machine accuracy. To substantiate the reproducibility of our calculations we scrutinize pillar FRG results reported in the literature, and discuss our calculations of these reference systems. We mean to entice other groups to reproduce and establish this set of benchmark FRG results thus propagating the joint effort of the FRG community to engage in a shared knowledge repository as a reference standard for FRG implementations.
