Computing Lattice Field Theory by Tensor Networks―Challenge to Sign Problem
We review how tensor networks are used in quantum field theory on the lattice. The striking feature of the method is free of the sign problem which is a serious drawback of the Monte Carlo method. In fact the tensor networks have been applied and verified mainly in two dimensional system. On the oth...
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| Published in | Butsuri Vol. 77; no. 3; pp. 136 - 144 |
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| Main Author | |
| Format | Journal Article |
| Language | Japanese |
| Published |
The Physical Society of Japan
04.03.2022
一般社団法人 日本物理学会 |
| Online Access | Get full text |
| ISSN | 0029-0181 2423-8872 |
| DOI | 10.11316/butsuri.77.3_136 |
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| Summary: | We review how tensor networks are used in quantum field theory on the lattice. The striking feature of the method is free of the sign problem which is a serious drawback of the Monte Carlo method. In fact the tensor networks have been applied and verified mainly in two dimensional system. On the other hand, the computation cost of the tensor networks is known to be severe for higher dimensional system. Recently, however, thanks to the progress of the coarse-graining algorithm, tensor network studies of the four dimensional system with simple internal degree of freedom have just started. We hope that further algorithmic developments make the tensor network computation of lattice QCD feasible. |
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| ISSN: | 0029-0181 2423-8872 |
| DOI: | 10.11316/butsuri.77.3_136 |