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

DOI10.1093/PTEP/PTAD074zbMATH Open1528.81190arXiv2304.14753MaRDI QIDQ6115470

Author name not available (Why is that?)

Publication date: 12 July 2023

Published in: PTEP. Progress of Theoretical and Experimental Physics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/2304.14753

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Applications of Lie groups to the sciences; explicit representations (22E70) Renormalization group methods applied to problems in quantum field theory (81T17) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (4)

Chiral Ward identities, automatic \(O(a)\) improvement and the gradient flow ⋮ A calculation of the gauge anomaly with the chiral overlap operator ⋮ Gradient flow exact renormalization group for scalar quantum electrodynamics ⋮ Chiral gauge theories and anomalies in the Wilson renormalization group approach

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