论文标题
四维复合物$ ϕ^4 $理论在有限密度下的张量重新归一化组方法
Tensor renormalization group approach to four-dimensional complex $ϕ^4$ theory at finite density
论文作者
论文摘要
张量网络是具有负符号问题的磁场理论的有吸引力的方法。有限密度下的复杂$ ϕ^4 $理论是用于验证其有效性的数值算法的测试床。该模型显示了一种特征，称为“银燃烧现象”，与符号问题相关的大量限制在低温下。我们分析了采用各向异性张量重量化组算法的四维模型。我们在大容量的$ V = 1024^4 $上发现了一个清晰的信号，这意味着张量网络方法即使对于超过二维的四维场理论也是有效的。
Tensor network is an attractive approach to field theory with negative sign problem. The complex $ϕ^4$ theory at finite density is a test bed for numerical algorithms to verify their effectiveness. The model shows a characteristic feature called the Silver Blaze phenomenon associated with the sign problem in the large volume limit at low temperature. We analyze the four-dimensional model employing the anisotropic tensor renormalization group algorithm. We find a clear signal of the Silver Blaze phenomenon on a large volume of $V=1024^4$, which implies that the tensor network approach is effective even for four-dimensional field theory beyond two dimensions.
