2022/01/11 by Yoshihiko Abe, Yu Hamada, Junichi Haruna
Mathematics · Physics and Astronomy · #Balanced flow #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Fixed point #Flow (mathematics) #Geometry #Infrared fixed point #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum gravity #Quantum mechanics #Renormalization group #Scalar (mathematics) #Scalar field #Scalar field theory #Sigma model #Thermal quantum field theory #Ultraviolet fixed point #hep-lat #hep-th
paper · pdf · doi:10.1093/ptep/ptac021
published as Prog Theor Exp Phys (2022) · 23 pages, 1 figure
arxiv created 2022/01/11 · openalex publication_date 2022/01/25 · arxiv updated 2022/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Gradient Flow Exact Renormalization Group (GFERG) is a framework to define 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 discuss 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-ε dimensions and the Wilson-Fisher fixed point.