Gradient flow and the Wilsonian renormalization group flow

Hiroki Makino; Okuto Morikawa; Hiroshi Suzuki

doi:10.1093/ptep/pty050

Gradient flow and the Wilsonian renormalization group flow

Hiroki Makino, Okuto Morikawa, Hiroshi Suzuki

Experimental Particle Physics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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 language	English
Article number	053B02
Journal	Progress of Theoretical and Experimental Physics
Volume	2018
Issue number	5
DOIs	https://doi.org/10.1093/ptep/pty050
Publication status	Published - May 1 2018

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1093/ptep/pty050

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author = "Hiroki Makino and Okuto Morikawa and Hiroshi Suzuki",

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N2 - 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.

AB - 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.

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Gradient flow and the Wilsonian renormalization group flow

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