Vanishing of the chiral anomaly for an antisymmetric tensor field

We consider a gauge antisymmetric tensor field (which is equivalent to a massless scalar field on-mass-shell). We demonstrate that the total chiral current which accounts for the chirality of the vector ghost fields is not anomalous. We also dwell on the relation between the number of zero modes of...

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Bibliographic Details
Published in:Nuclear physics. B 1989-01, Vol.313 (1), p.73-79
Main Authors: Dolgov, A.D., Khriplovich, I.B., Vainshtein, A.I., Zakharov, V.I.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary:We consider a gauge antisymmetric tensor field (which is equivalent to a massless scalar field on-mass-shell). We demonstrate that the total chiral current which accounts for the chirality of the vector ghost fields is not anomalous. We also dwell on the relation between the number of zero modes of the antisymmetric tensor field and the anomaly in the chiral current of the vector field.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(89)90513-0