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Triad second renormalization group

delete2022-04-21
delete8
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OA
AI
D
Daisuke Kadoh *
H
Hideaki Oba
S
Shinji Takeda
DOI:10.1007/JHEP04(2022)121delete
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摘要

摘要

En 中文
We propose a second renormalization group (SRG) in the triad representation of tensor networks. The SRG method improves two parts of the triad tensor renormalization group, which are the decomposition of intermediate tensors and the preparation of isometrics, taking the influence of environment tensors into account. Every fundamental tensor including environment tensor is given as a rank-3 tensor, and the computational cost of the proposed algorithm scales with O(chi(5)) employing the randomized SVD where chi is the bond dimension of tensors. We test this method in the classical Ising model on the two dimensional square lattice, and find that numerical results are obtained in good accuracy for a fixed computational time.
Keyword:
Lattice Quantum Field Theory
Renormalization Group

期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
4.0W
被引数:
13.7W

机构

D
Doshisha University
学者数:
2.3K
论文数: 1.8K
被引数: 1.4K
K
Kanazawa University
学者数:
1.2W
论文数: 8.8K
被引数: 7.6K
引用论文

引用论文

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