English

Chiral anomaly as a composite operator in the gradient flow exact renormalization group formalism

High Energy Physics - Theory 2024-02-08 v2 High Energy Physics - Lattice

Abstract

The gradient flow exact renormalization group (GFERG) is an idea that incorporates gauge invariant gradient flows into the formalism of the exact renormalization group (ERG). GFERG introduces a Wilson action with a cutoff while keeping vector gauge invariance manifestly. The details of the formalism are still to be worked out. In this paper, we apply GFERG to construct the Wilson action of massless Dirac fermions under the background chiral gauge fields. By formulating the chiral anomaly as a ``composite operator,'' we make the scale invariance of the anomaly manifest. We argue that the same result extends to QCD.

Keywords

Cite

@article{arxiv.2304.14753,
  title  = {Chiral anomaly as a composite operator in the gradient flow exact renormalization group formalism},
  author = {Yuki Miyakawa and Hidenori Sonoda and Hiroshi Suzuki},
  journal= {arXiv preprint arXiv:2304.14753},
  year   = {2024}
}

Comments

25 pages

R2 v1 2026-06-28T10:20:37.108Z