Fixed point structure of the gradient flow exact renormalization group for scalar field theories

被引：6
作者：
Abe, Yoshihiko [1 ]
Hamada, Yu [2 ]
Haruna, Junichi [1 ]
机构：
[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
[2] High Energy Accelerator Res Org KEK, KEK Theory Ctr, Oho 1-1, Tsukuba, Ibaraki 3050801, Japan
来源：
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2022年 / 2022卷 / 03期
关键词：
B06; B32; B37; CRITICAL EXPONENTS; EVOLUTION EQUATION; PHASE-STRUCTURE;
D O I：
10.1093/ptep/ptac021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The gradient flow exact renormalization group (GFERG) is a framework for defining the Wilson action via a gradient flow equation. We study the fixed point structure of the GFERG equation associated with a general gradient flow equation for scalar field theories, and show that it is the same as that of the conventional Wilson-Polchinski (WP) equation in general. Furthermore, we see that the GFERG equation has a similar RG flow structure around a fixed point to the WP equation. We illustrate these results with the O(N) non-linear sigma model in 4 - epsilon dimensions and the Wilson-Fisher fixed point.
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页数：18
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