Tensor renormalization group for fermions

被引：0

作者：

Akiyama, Shinichiro ^{[1
,2
]}

Meurice, Yannick ^{[3
]}

Sakai, Ryo ^{[4
]}

机构：

[1] Univ Tsukuba, Ctr Computat Sci, Tsukuba, Ibaraki 3058577, Japan

[2] Univ Tokyo, Grad Sch Sci, Bunkyo Ku, Tokyo 1130033, Japan

[3] Univ Iowa, Dept Phys & Astron, Iowa City, IA 52242 USA

[4] Jij Inc, Bunkyo Ku, Tokyo 1130031, Japan

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 2024年 / 36卷 / 34期

关键词：

tensor networks; lattice gauge theory; relativistic lattice fermions; Fermi Hubbard model; Grassmann path integrals; sign problems; LATTICE SCHWINGER MODEL; FINITE-DENSITY; FIELD THEORY; NJL-MODEL; MATRIX; TRANSITION; APPROXIMATION; QCD;

D O I：

10.1088/1361-648X/ad4760

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We review the basic ideas of the tensor renormalization group method and show how they can be applied for lattice field theory models involving relativistic fermions and Grassmann variables in arbitrary dimensions. We discuss recent progress for entanglement filtering, loop optimization, bond-weighting techniques and matrix product decompositions for Grassmann tensor networks. The new methods are tested with two-dimensional Wilson-Majorana fermions and multi-flavor Gross-Neveu models. We show that the methods can also be applied to the fermionic Hubbard model in 1+1 and 2+1 dimensions.

引用

页数：31

共 186 条

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Adachi D., 2020, PhD Thesis

[2] Bond-weighted tensor renormalization group [J].