Gradient flow and the Wilsonian renormalization group flow

Hiroki Makino, Okuto Morikawa, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


The gradient flow is the evolution of fields and physical quantities along a dimensionful parameter t, the flow time. We give a simple argument that relates this gradient flow and the Wilsonian renormalization group (RG) flow. We then illustrate the Wilsonian RG flow on the basis of the gradient flow in two examples that possess an infrared fixed point, the 4D many-flavor gauge theory and the 3D O(N) linear sigma model.

Original languageEnglish
Article number053B02
JournalProgress of Theoretical and Experimental Physics
Issue number5
Publication statusPublished - May 1 2018

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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