Tensor renormalization group approach to four-dimensional complex ϕ4 theory at finite density
Tensor renormalization group approach to four-dimensional complex ϕ4 theory at finite density
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DOI：
10.1007/jhep09(2020)177
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发表时间：
2020-05
影响因子：
5.4
通讯作者：
S. Akiyama;D. Kadoh;Y. Kuramashi;Takumi Yamashita;Yusuke Yoshimura
中科院分区：
文献类型：
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作者：
S. Akiyama;D. Kadoh;Y. Kuramashi;Takumi Yamashita;Yusuke Yoshimura
张量网络是解决带负号问题的场论的一种有吸引力的方法。有限密度下的复杂φ 4理论是数值算法验证其有效性的测试平台。该模型显示了与低温下大体积极限的符号问题相关的银光现象的特征。采用各向异性张量重整化群算法对四维模型进行了分析，并进行了并行计算。我们在V= 1024的大体积上发现了银光现象的清晰信号，这意味着张量网络方法即使对二维以上的四维场论也是有效的。
Tensor network is an attractive approach to the 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 with a parallel computation. 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.