Axial anomaly in the gradient flow exact renormalization group
Yuki Miyakawa
TL;DR
This paper demonstrates that the gradient flow exact renormalization group (GFERG) formulation accurately reproduces the axial anomaly in four-dimensional gauge theories while maintaining gauge and modified chiral invariance.
Contribution
It introduces GFERG as a gauge-invariant ERG approach that correctly captures the axial anomaly in four dimensions.
Findings
GFERG reproduces the correct axial anomaly.
GFERG maintains gauge invariance.
GFERG preserves modified chiral invariance.
Abstract
The gradient flow exact renormalization group (GFERG) is a formulation of the exact renormalization group that keeps exact gauge invariance. GFERG can keep also modified chiral invariance. We will show that this formulation reproduces the correct axial anomaly in four dimensions.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Black Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions