Tensor renormalization group approach to four-dimensional complex ϕ4 theory at finite density
Shinichiro Akiyama, Daisuke Kadoh, Yoshinobu Kuramashi, Takumi Yamashita, Yusuke Yoshimura
Abstract
A bstract 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.