Speaker
Mr
Junichi Haruna
(Kyoto University)
Description
Gradient Flow Exact Renormalization Group (GFERG) is a framework of Exact Renormalization
Group and defines the Wilson action via Gradient Flow equation. We study the fixed
point structure of the GFERG equation associated with the general Gradient Flow equation
for scalar fields and show that it is almost the same as that of the Wilson-Polchinski
(WP) equation. 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 O(N)
non-linear sigma model in 4-epsilon dimensions and the Wilson-Fisher fixed point.
