Chiral anomaly in Weyl systems: No violation of classical conservation laws

The anomalous term ∼EB in the balance of the chiral density can be rewritten as quantum current in the classical balance of density. Therefore it does not violate conservation laws as sometimes claimed to be caused by quantum fluctuations. •Chiral anomaly rewritten as quantum current completing clas...

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Bibliographic Details
Published inPhysics letters. A Vol. 383; no. 12; pp. 1362 - 1363
Main Author Morawetz, K.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.04.2019
Subjects
Anomaly
Chiral kinetic theory
Conservation laws
Transport
Conservation laws
Anomaly
Transport
Chiral kinetic theory
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Summary:The anomalous term ∼EB in the balance of the chiral density can be rewritten as quantum current in the classical balance of density. Therefore it does not violate conservation laws as sometimes claimed to be caused by quantum fluctuations. •Chiral anomaly rewritten as quantum current completing classical density balance.•Therefore no violation of classical conservation laws as often claimed.•Quantum current not gauge invariant, see consistent or covariant anomalies.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2019.01.042