Gradient flow and the Wilsonian renormalization group flow
High Energy Physics - Theory
2021-07-09 v3 High Energy Physics - Lattice
Abstract
The gradient flow is the evolution of fields and physical quantities along a dimensionful parameter~, 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 linear sigma model.
Cite
@article{arxiv.1802.07897,
title = {Gradient flow and the Wilsonian renormalization group flow},
author = {Hiroki Makino and Okuto Morikawa and Hiroshi Suzuki},
journal= {arXiv preprint arXiv:1802.07897},
year = {2021}
}
Comments
10 pages, 2 figures, the final version to appear in PTEP. Figures 1 and 2 were wrong due to a mistake in the numerical code and have been replaced by corrected ones. We would like to thank Mizuki Tanaka and Masakiyo Kitazawa for pointing out this to us