The chiral anomaly is extended to mixed states via symmetry-charge flow derived algebraically from symmetry and flux-insertion operators, restoring universality for Abelian symmetries in fermionic and bosonic systems.
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The chiral magnetic effect is the anomaly of the transverse axial vector Ward identity, which enforces a universal conductivity of 1/(2π²) robust against external parameters and interactions.
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Anomaly and symmetry-charge flow in mixed states
The chiral anomaly is extended to mixed states via symmetry-charge flow derived algebraically from symmetry and flux-insertion operators, restoring universality for Abelian symmetries in fermionic and bosonic systems.
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Chiral Magnetic effect as the anomaly in the transverse axial vector Ward Identity
The chiral magnetic effect is the anomaly of the transverse axial vector Ward identity, which enforces a universal conductivity of 1/(2π²) robust against external parameters and interactions.