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Gradient flow and the Wilsonian renormalization group flow

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arxiv 1802.07897 v3 pith:C5INOFLM submitted 2018-02-22 hep-th hep-lat

Hiroki Makino , Okuto Morikawa , Hiroshi Suzuki This is my paper · ORCID
classification hep-thhep-lat
keywords flowgradientwilsoniangrouprenormalizationalongargumentbasis
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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.

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  1. Lattice gradient flows (de-)stabilizing topological sectors

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Iwasaki and DBW2 gradient flows keep the topological charge of SU(2) gauge configurations stable at long flow times, unlike Wilson and Symanzik flows; DBW2 quantizes the charge already near t=0.5.

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