TY - JOUR

T1 - Path integral evaluation of non-abelian anomaly and Pauli-Villars-Gupta regularization

AU - Okuyama, Kiyoshi

AU - Suzuki, Hiroshi

N1 - Funding Information:
We thank T. Fujiwara for enlightening discussions. The work of H.S. is supported in part by Monbusho Grant-in-Aid Scientific Research No. 07740199 and No. 07304029.

PY - 1996/8/1

Y1 - 1996/8/1

N2 - When the path integral method of anomaly evaluation is applied to chiral gauge theories, two different types of gauge anomaly, i.e., the consistent form and the covariant form, appear depending on the regularization scheme for the Jacobian factor. We clarify the relation between the regularization scheme and the Pauli-Villars-Gupta (PVG) type Lagrangian level regularization. The conventional PVG, being non-gauge invariant for chiral gauge theories, in general corresponds to the consistent regularization scheme. The covariant regularization scheme, on the other hand, is realized by the generalized PVG Lagrangian recently proposed by Frolov and Slavnov. These correspondences are clarified by reformulating the PVG method as a regularization of the composite gauge current operator.

AB - When the path integral method of anomaly evaluation is applied to chiral gauge theories, two different types of gauge anomaly, i.e., the consistent form and the covariant form, appear depending on the regularization scheme for the Jacobian factor. We clarify the relation between the regularization scheme and the Pauli-Villars-Gupta (PVG) type Lagrangian level regularization. The conventional PVG, being non-gauge invariant for chiral gauge theories, in general corresponds to the consistent regularization scheme. The covariant regularization scheme, on the other hand, is realized by the generalized PVG Lagrangian recently proposed by Frolov and Slavnov. These correspondences are clarified by reformulating the PVG method as a regularization of the composite gauge current operator.

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U2 - 10.1016/0370-2693(96)00648-X

DO - 10.1016/0370-2693(96)00648-X

M3 - Article

AN - SCOPUS:0041624076

VL - 382

SP - 117

EP - 123

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -