In a search of symmetry behind topological chiral current

A. I. Vainshtein; V. I. Zakharov

doi:10.1016/0550-3213(89)90476-8

In a search of symmetry behind topological chiral current

A. I. Vainshtein, V. I. Zakharov

Physics and Astronomy (Twin Cities)

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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 ∂_μK_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)
Pages (from-to)	495-502
Number of pages	8
Journal	Nuclear Physics, Section B
Volume	324
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(89)90476-8
State	Published - Sep 25 1989

Bibliographical note

Funding Information:
* This work is supported in part by funds provided by the U.S. Department of Energy (D.O.E.) under contract # DE-AC02-76ER03069. ** Permanent address: Institute of Nuclear Physics, Novosibirsk 90, USSR.

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AB - We try to identify symmetry associated with the topological current of gluon field Kμ. We argue that in the case of supersymmetric Yang-Mills theory the matrix elements of ∂μKμ 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.

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In a search of symmetry behind topological chiral current

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