AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)L×U(1)Y MODEL

ZHANG Yue-Zhong

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(4) : 430-436

AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL

ZHANG Yue-Zhong ^,

Sichuan University, Physics Department

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Abstract：
Using dimensional regularization, we show by explicitly calculation to the one-loop level that the validity of the axial vector Ward identities in SU(2)_L×U(1)_Ymodel which contains heavy leptons and is free from Adler-Bell-Jackiw(ABJ) anomalies is independent of two definitions of γ₅ in n dimensions. A natural corollary is that the method of the dimensional regularization is suitable to the model in which there exist axial vector coupling fermions. When AVV triangles are embeded into the vertices of axial vector fermions, we find that in physical limit n→4 they do not induce any new finite anomalies. We therefore show that to at least two-loop the conjecture originally raised by Frampton that there exist new mass-dependent anomalies is also incorrect in the non-Abelian case.

References

[1]	G'thooft and Veltman, Nucl. Phys., R44 (1972), 189.[2] W. Bardeen, Gastamans and B. Lantrup, Nucl. Phys., B46 (1972), 319.[3] S. GotrEeS and J. T. Donohue, Phys. Rev., 920 (1979), 3378.[4] Eurt A. Orut, Nucl. Phys, B23 (1983), 241.[5] P. H. Frampton, Phys. Rev., D20(1979), 3372.

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ZHANG Yue-Zhong. AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL[J]. Chinese Physics C, 1985, 9(4): 430-436.

ZHANG Yue-Zhong. AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL[J]. Chinese Physics C, 1985, 9(4): 430-436. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL

ZHANG Yue-Zhong ^,

Corresponding author: ZHANG Yue-Zhong,

Sichuan University, Physics Department

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-08-05

Abstract: Using dimensional regularization, we show by explicitly calculation to the one-loop level that the validity of the axial vector Ward identities in SU(2)_L×U(1)_Ymodel which contains heavy leptons and is free from Adler-Bell-Jackiw(ABJ) anomalies is independent of two definitions of γ₅ in n dimensions. A natural corollary is that the method of the dimensional regularization is suitable to the model in which there exist axial vector coupling fermions. When AVV triangles are embeded into the vertices of axial vector fermions, we find that in physical limit n→4 they do not induce any new finite anomalies. We therefore show that to at least two-loop the conjecture originally raised by Frampton that there exist new mass-dependent anomalies is also incorrect in the non-Abelian case.