Application of tensor network method to two dimensional lattice N=1 Wess-Zumino model
Application of tensor network method to two dimensional lattice N=1 Wess-Zumino model
复制标题
张量网络方法在二维格子N=1 Wess-Zumino模型中的应用
DOI：
10.1051/epjconf/201817511019
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Shinji and Yoshimura
中科院分区：
文献类型：
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作者：
Sakai;Ryo and Kadoh;Daisuke and Kuramashi;Yoshinobu and Nakamura;Yoshifumi and Takeda;Shinji and Yoshimura
对于费米子和玻色子，我们研究了具有Wilson导数的二维晶格模型N=1的张量网络形式。张量重整化群使我们可以在没有符号问题的情况下计算配分函数，并且在以前的工作中已经给出了获得费米子和标量玻色子系统的张量网络的基本思想。除了改进方法外，我们还构造了包含Majorana费米子和实标量玻色子的Yukawat型相互作用的模型的张量网络表示。我们给出了一些数值结果。
We study a tensor network formulation of the two dimensional latticeN= 1 Wess–Zumino model with Wilson derivatives for both fermions and bosons. The tensor renormalization group allows us to compute the partition function without the sign problem, and basic ideas to obtain a tensor network for both fermion and scalar boson systems were already given in previous works. In addition to improving the methods, we have constructed a tensor network representation of the model including the Yukawatype interaction of Majorana fermions and real scalar bosons. We present some numerical results.