Abstract
Tensor network is an attractive approach to the field theory with negative sign problem. The complex ϕ4 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 = 10244, which implies that the tensor network approach is effective even for four-dimensional field theory beyond two dimensions.
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Akiyama, S., Kadoh, D., Kuramashi, Y. et al. Tensor renormalization group approach to four-dimensional complex ϕ4 theory at finite density. J. High Energ. Phys. 2020, 177 (2020). https://doi.org/10.1007/JHEP09(2020)177
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DOI: https://doi.org/10.1007/JHEP09(2020)177