Gradient flow exact renormalization group

Hidenori Sonoda, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


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 can be extended to lattice gauge theory.

Original languageEnglish
Article number023B05
JournalProgress of Theoretical and Experimental Physics
Issue number2
Publication statusPublished - Feb 1 2021

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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