Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2020)177
Keywords
Field Theories in Higher Dimensions; Lattice Quantum Field Theory
Categories
Funding
- Ministry of Education, Culture, Sports, Science and Technology (MEXT) as Exploratory Challenge on Post-K computer (Frontiers of Basic Science: Challenging the Limits)
- JSPS KAKENHI [JP19K03853, 20H00148]
- Grants-in-Aid for Scientific Research [20H00148] Funding Source: KAKEN
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Tensor network is an attractive approach to the field theory with negative sign problem. The complex phi(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.
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