Gradient flow exact renormalization group: Inclusion of fermion fields

Yuki Miyakawa, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


The gradient flow exact renormalization group (GFERG) is an exact renormalization group motivated by the Yang-Mills gradient flow and its salient feature is a manifest gauge invariance. We generalize this GFERG, originally formulated for the pure Yang-Mills theory, to vector-like gauge theories containing fermion fields, keeping the manifest gauge invariance. For the chiral symmetry we have two options: one possible formulation preserves the conventional form of the chiral symmetry and the other simpler formulation realizes the chiral symmetry in a modified form à la Ginsparg-Wilson. We work out a gauge-invariant local Wilson action in quantum electrodynamics to the lowest nontrivial order of perturbation theory. This Wilson action reproduces the correct axial anomaly in $D=2$.

Original languageEnglish
Article number083B04
JournalProgress of Theoretical and Experimental Physics
Issue number8
Publication statusPublished - Aug 1 2021

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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