Vanishing of the chiral anomaly for an antisymmetric tensor field

A. D. Dolgov; I. B. Khriplovich; A. I. Vainshtein; V. I. Zakharov

doi:10.1016/0550-3213(89)90513-0

Vanishing of the chiral anomaly for an antisymmetric tensor field

A. D. Dolgov, I. B. Khriplovich, A. I. Vainshtein, V. I. Zakharov

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Abstract

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.

Original language	English (US)
Pages (from-to)	73-79
Number of pages	7
Journal	Nuclear Physics, Section B
Volume	313
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(89)90513-0
State	Published - Jan 30 1989
Externally published	Yes

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10.1016/0550-3213(89)90513-0

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abstract = "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.",

author = "Dolgov, {A. D.} and Khriplovich, {I. B.} and Vainshtein, {A. I.} and Zakharov, {V. I.}",

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AU - Dolgov, A. D.

AU - Khriplovich, I. B.

AU - Vainshtein, A. I.

AU - Zakharov, V. I.

PY - 1989/1/30

Y1 - 1989/1/30

N2 - 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.

AB - 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.

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ER -

Vanishing of the chiral anomaly for an antisymmetric tensor field

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