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Prog. Theor. Phys. Vol. 98 No. 2 (1997) pp. 463-484

[ Full Text PDF : FREE ACCESS (986K) ]

Gauge Invariant Pauli-Villars Regularization of Chiral Fermions

Kiyoshi Okuyama and Hiroshi Suzuki

Department of Physics, Ibaraki University, Mito 310

(Received March 21, 1997)

Abstract:

We extend the idea of the generalized Pauli-Villars regularization of Frolov and Slavnov and analyze the general structure of the regularization scheme. The gauge anomaly-free condition emerges in a simple way in the scheme, and, under the standard prescription for the momentum assignment, the Pauli-Villars Lagrangian provides a gauge invariant regularization of chiral fermions in arbitrary anomaly-free representations. The vacuum polarization tensor is transverse, and the fermion number and the conformal anomalies have gauge invariant forms. We also point out that the real representation can be treated in a straightforward manner and the covariant regularization scheme is directly implemented.


URL : http://ptp.ipap.jp/link?PTP/98/463/
DOI : 10.1143/PTP.98.463

[ Full Text PDF : FREE ACCESS (986K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 100 No. 3 (1998) pp. 627-655 :
    Invariant Regularization of Supersymmetric Chiral Gauge Theory
    Takuya Hayashi, Yoshihisa Ohshima Kiyoshi Okuyama and Hiroshi Suzuki
  2. Progress of Theoretical Physics Vol. 100 No. 5 (1998) pp. 1033-1054 :
    Invariant Regularization of Supersymmetric Chiral Gauge Theory. II
    Takuya Hayashi, Yoshihisa Ohshima, Kiyoshi Okuyama and Hiroshi Suzuki