Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-01-12
Prog.Theor.Phys. 100 (1998) 627-655
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, PHYZZX. Final version to appear in Prog. Theor. Phys
Scientific paper
10.1143/PTP.100.627
We formulate a manifestly supersymmetric gauge covariant regularization of supersymmetric chiral gauge theories. In our scheme, the effective action in the superfield background field method above one-loop is always supersymmetric and gauge invariant. The gauge anomaly has a covariant form and can emerge only in one-loop diagrams with all the external lines being the background gauge superfield. We also present several illustrative applications in the one-loop approximation: the self-energy part of the chiral multiplet and of the gauge multiplet; the super-chiral anomaly and the superconformal anomaly; as the corresponding anomalous commutators, the Konishi anomaly and an anomalous supersymmetric transformation law of the supercurrent (the ``central extension'' of N=1 supersymmetry algebra) and of the R-current.
Hayashi Takuya
Ohshima Yoshihisa
Okuyama Kiyoshi
Suzuki Hiroshi
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