Higher-order tensor renormalization group for relativistic fermion systems

被引:40
作者
Sakai, Ryo [1 ]
Takeda, Shinji [1 ]
Yoshimura, Yusuke [2 ]
机构
[1] Kanazawa Univ, Inst Theoret Phys, Kanazawa, Ishikawa 9201192, Japan
[2] Univ Tsukuba, Ctr Computat Sci, Tsukuba, Ibaraki 3058577, Japan
来源
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2017年 / 2017卷 / 06期
关键词
D O I
10.1093/ptep/ptx080
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We apply the higher-order tensor renormalization group to two-and three-dimensional relativistic fermion systems on the lattice. In order to perform a coarse-graining of tensor networks including Grassmann variables, we introduce the Grassmann higher-order tensor renormalization group. We test the validity of the new algorithm by comparing its results with those of exact or previous methods.
引用
收藏
页数:18
相关论文
共 50 条
  • [41] ON HIGHER-ORDER CORRECTIONS TO THE FLOW VELOCITY COVARIANCE TENSOR
    DENG, FW
    CUSHMAN, JH
    WATER RESOURCES RESEARCH, 1995, 31 (07) : 1659 - 1672
  • [42] HIGHER-ORDER QR WITH TOURNAMENT PIVOTING FOR TENSOR COMPRESSION
    Beaupere, Matthias
    Frenkiel, David
    Grigori, Laura
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2023, 44 (01) : 106 - 127
  • [43] Scalable Higher-Order Tensor Product Spline Models
    Ruegamer, David
    INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 238, 2024, 238
  • [44] A Linear Support Higher-Order Tensor Machine for Classification
    Hao, Zhifeng
    He, Lifang
    Chen, Bingqian
    Yang, Xiaowei
    IEEE TRANSACTIONS ON IMAGE PROCESSING, 2013, 22 (07) : 2911 - 2920
  • [45] HIGHER-ORDER RELATIVISTIC CONTRIBUTIONS TO ZEEMAN EFFECT IN HELIUM
    LEWIS, ML
    HUGHES, VW
    PHYSICAL REVIEW A, 1973, 8 (06): : 2845 - 2856
  • [46] Higher-order geodesic deviations and the calculus of relativistic orbits
    Colistete, R
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2002, 17 (20): : 2756 - 2756
  • [47] Tensor Field Model for higher-order information retrieval
    Qiao Ya-nan
    Qi Yong
    Hou Di
    JOURNAL OF SYSTEMS AND SOFTWARE, 2011, 84 (12) : 2303 - 2313
  • [48] Higher-order renormalization of graphene many-body theory
    Gonzalez, J.
    JOURNAL OF HIGH ENERGY PHYSICS, 2012, (08):
  • [49] Renormalization in a Lorentz-violating model and higher-order operators
    Nascimento, J. R.
    Petrov, A. Yu.
    Reyes, Carlos M.
    EUROPEAN PHYSICAL JOURNAL C, 2018, 78 (07):
  • [50] Higher-order renormalization of graphene many-body theory
    J. González
    Journal of High Energy Physics, 2012