Gradient flow exact renormalization group

@article{Sonoda2020GradientFE,
  title={Gradient flow exact renormalization group},
  author={H. Sonoda and Hiroshi Suzuki},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
The gradient flow bears a close resemblance to the coarse graining, the guiding principle of the renormalization group (RG). In the case of scalar field theory, a precise connection has been made between the gradient flow and the RG flow of the Wilson action in the exact renormalization group (ERG) formalism. By imitating the structure of this connection, we propose an ERG differential equation that preserves manifest gauge invariance in Yang--Mills theory. Our construction in continuum theory… 

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This is an Open Access article distributed under the terms of the Creat ive Commons Attribut ion License, which permits unrestricted reuse, distribut ion, and reproduct ion in any medium, provided the original work is properly cited.

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Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t > 0 is a smooth renormalized field. The expectation values of local

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