Gradient flow exact renormalization group

被引：13
|
作者：
Sonoda, Hidenori [1 ]
Suzuki, Hiroshi [2 ]
机构：
[1] Kobe Univ, Phys Dept, Kobe, Hyogo 6578501, Japan
[2] Kyushu Univ, Dept Phys, Nishi Ku, 744 Motooka, Fukuoka 8190395, Japan
来源：
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2021年 / 2021卷 / 02期
基金：
日本学术振兴会;
关键词：
D O I：
10.1093/ptep/ptab006
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The gradient flow bears a close resemblance to the coarse graining, the guiding principle of the renormalization group (RG). In the case of scalar field theory, a precise connection has been made between the gradient flow and the RG flow of the Wilson action in the exact renormalization group (ERG) formalism. By imitating the structure of this connection, we propose an ERG differential equation that preserves manifest gauge invariance in Yang-Mills theory. Our construction in continuum theory can be extended to lattice gauge theory.
引用
收藏
页数：22
相关论文
共 50 条
  • [41] Exact renormalization group for quantum spin systems
    Krieg, Jan
    Kopietz, Peter
    PHYSICAL REVIEW B, 2019, 99 (06)
  • [42] A gauge invariant exact renormalization group II
    Morris, TR
    JOURNAL OF HIGH ENERGY PHYSICS, 2000, (12):
  • [43] THE EXACT RENORMALIZATION-GROUP AND APPROXIMATE SOLUTIONS
    MORRIS, TR
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1994, 9 (14): : 2411 - 2449
  • [44] An exact renormalization group approach to frustrated magnets
    Tissier, M
    Delamotte, B
    Mouhanna, D
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2001, 16 (11): : 2131 - 2136
  • [45] Exact renormalization group equations: an introductory review
    Bagnuls, C
    Bervillier, C
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 348 (1-2): : 91 - 157
  • [46] Analytical solutions of exact renormalization group equations
    Tetradis, N
    Litim, DF
    NUCLEAR PHYSICS B, 1996, 464 (03) : 492 - 511
  • [47] Exact renormalization group and Sine Gordon theory
    Oak, Prafulla
    Sathiapalan, B.
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (07):
  • [48] Exact statement for Wilsonian and holographic renormalization group
    Akhmedov, E. T.
    Musaev, E. T.
    PHYSICAL REVIEW D, 2010, 81 (08):
  • [49] Exact renormalization group and Sine Gordon theory
    Prafulla Oak
    B. Sathiapalan
    Journal of High Energy Physics, 2017
  • [50] DERIVATIVE EXPANSION OF THE EXACT RENORMALIZATION-GROUP
    MORRIS, TR
    PHYSICS LETTERS B, 1994, 329 (2-3) : 241 - 248
12345