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.
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页数：22
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