Invariant Regularization of Supersymmetric Chiral Gauge Theory | Zendy

Takuya Hayashi | Zendy; Yoshihisa Ohshima | Zendy; Kiyoshi Okuyama | Zendy; Hiroshi Suzuki | Zendy

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Invariant Regularization of Supersymmetric Chiral Gauge Theory

Author(s) -

Takuya Hayashi,

Yoshihisa Ohshima,

Kiyoshi Okuyama,

Hiroshi Suzuki

Publication year - 1998

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.100.627

Subject(s) - physics , multiplet , supersymmetric gauge theory , gauge anomaly , mixed anomaly , mathematical physics , supersymmetry , brst quantization , anomaly (physics) , seiberg duality , hamiltonian lattice gauge theory , covariant transformation , introduction to gauge theory , gauge theory , particle physics , quantum electrodynamics , theoretical physics , quantum mechanics , spectral line

We formulate a manifestly supersymmetric gauge covariant regularization ofsupersymmetric chiral gauge theories. In our scheme, the effective action inthe superfield background field method above one-loop is always supersymmetricand gauge invariant. The gauge anomaly has a covariant form and can emerge onlyin one-loop diagrams with all the external lines being the background gaugesuperfield. We also present several illustrative applications in the one-loopapproximation: the self-energy part of the chiral multiplet and of the gaugemultiplet; the super-chiral anomaly and the superconformal anomaly; as thecorresponding anomalous commutators, the Konishi anomaly and an anomaloussupersymmetric transformation law of the supercurrent (the ``centralextension'' of N=1 supersymmetry algebra) and of the R-current.Comment: 43 pages, PHYZZX. Final version to appear in Prog. Theor. Phy

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