Remark on the Consistent Gauge Anomaly in Supersymmetric Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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uses PHYZZX, 17 pages, the result of SUSY anomaly in the Wess-Zumino gauge added

Scientific paper

10.1016/S0370-2693(99)00585-7

We present a direct field theoretical calculation of the consistent gauge anomaly in the superfield formalism, on the basis of a definition of the effective action through the covariant gauge current. The scheme is conceptually and technically simple and the gauge covariance in intermediate steps reduces calculational labors considerably. The resultant superfield anomaly, being proportional to the anomaly $d^{abc}=\tr T^a\{T^b,T^c\}$, is minimal without supplementing any counterterms. Our anomaly coincides with the anomaly obtained by Marinkovi\'c as the solution of the Wess-Zumino consistency condition.

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