### Abstract

We try to identify symmetry associated with the topological current of gluon field K_{μ}. We argue that in the case of supersymmetric Yang-Mills theory the matrix elements of ∂_{μ}K_{μ} can be evaluated by varying the effective action with respect to the bare coupling constant. The triangle graph does not obey this relation and represent an anomaly. In the case of pure Yang-Mills fields the notion of conserved chirality is introduced for a special background in one-loop order. In particular the conservation of the chirality implies again the "naive" vanishing of the triangle graph.

Original language | English (US) |
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Pages (from-to) | 495-502 |

Number of pages | 8 |

Journal | Nuclear Physics, Section B |

Volume | 324 |

Issue number | 2 |

DOIs | |

State | Published - Sep 25 1989 |

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## Cite this

Vainshtein, A. I., & Zakharov, V. I. (1989). In a search of symmetry behind topological chiral current.

*Nuclear Physics, Section B*,*324*(2), 495-502. https://doi.org/10.1016/0550-3213(89)90476-8