Title: Initial tensor construction for the tensor renormalization group Show Chinese title

Title: 张量重正化群的初始张量构造

Abstract: We propose a method to construct the initial tensor representation of partition functions and observables for the tensor renormalization group (TRG). The TRG is a numerical calculation technique that utilizes a tensor network representations of physical quantities to investigate physical properties without encountering the sign problem. To apply the TRG, it is essential to construct a locally connected tensor network suitable for recursive coarse-graining. We present a systematic approach for translating a general tensor representation of the partition function to this form. Furthermore, we show the dependence of TRG algorithms on the choice of the initial tensor network representation and propose an improvement of TRG algorithms in this respect Show Chinese abstract

Abstract: 我们提出一种方法，用于构建张量重正化群（TRG）的配分函数和可观测量的初始张量表示。 TRG 是一种数值计算技术，它利用物理量的张量网络表示来研究物理性质，而不会遇到符号问题。 要应用 TRG，必须构建一个适合递归粗化的局部连接张量网络。 我们提出了一种系统的方法，将配分函数的一般张量表示转换为这种形式。 此外，我们展示了 TRG 算法对初始张量网络表示选择的依赖性，并在此方面提出了 TRG 算法的改进方法。