Gradient flow exact renormalization group: Inclusion of fermion fields

Yuki Miyakawa, Hiroshi Suzuki

研究成果: Contribution to journalArticle査読


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 $D=2$.

ジャーナルProgress of Theoretical and Experimental Physics
出版ステータス出版済み - 8 1 2021

All Science Journal Classification (ASJC) codes

  • 物理学および天文学(全般)


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