Computing Lattice Field Theory by Tensor Networks―Challenge to Sign Problem
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- Takeda Shinji
- 金沢大学理工研究域数物科学系
Bibliographic Information
- Other Title
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- テンソルネットワークで格子場理論を計算する――符号問題への挑戦
Abstract
<p>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.</p>
Journal
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- Butsuri
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Butsuri 77 (3), 136-144, 2022-03-04
The Physical Society of Japan
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Details 詳細情報について
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- CRID
- 1390010292897172864
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- ISSN
- 24238872
- 00290181
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- Text Lang
- ja
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- Data Source
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- JaLC
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- Abstract License Flag
- Disallowed