English

Remark on the Consistent Gauge Anomaly in Supersymmetric Theories

High Energy Physics - Theory 2009-10-31 v3

Abstract

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 dabc=\trTa{Tb,Tc}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.

Keywords

Cite

@article{arxiv.hep-th/9904096,
  title  = {Remark on the Consistent Gauge Anomaly in Supersymmetric Theories},
  author = {Yoshihisa Ohshima and Kiyoshi Okuyama and Hiroshi Suzuki and Hirofumi Yasuta},
  journal= {arXiv preprint arXiv:hep-th/9904096},
  year   = {2009}
}

Comments

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