论文标题
探索三维非亚伯仪理论的张量重归其化组研究
Toward tensor renormalization group study of three-dimensional non-Abelian gauge theory
论文作者
论文摘要
我们提出了一种表示量表字段的路径积分作为张量网络的方法。我们引入了具有变异参数的试用行动，并生成具有试用措施定义的权重的量规场配置。我们用标记这些量规场配置的索引构建初始张量。我们使用初始张量执行张量重归其化组，并优化变分参数。作为在超过二维中非亚伯仪理论的TRG研究的第一步，我们将此方法应用于三维纯SU（2）仪表理论。自由能的结果与弱和强耦合方案的分析结果一致。
We propose a method to represent the path integral over gauge fields as a tensor network. We introduce a trial action with variational parameters and generate gauge field configurations with the weight defined by the trial action. We construct initial tensors with indices labelling these gauge field configurations. We perform the tensor renormalization group with the initial tensors and optimize the variational parameters. As a first step to the TRG study of non-Abelian gauge theory in more than two dimensions, we apply this method to three-dimensional pure SU(2) gauge theory. Our result for the free energy agrees with the analytical results in weak and strong coupling regimes.
