ON THE FEYNMAN RULES AND AXIAL VECTOR ANOMALY OF NORMAL FUZZY LATTICE FERMION

DONG Shao-Jing

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(3) : 226-233

ON THE FEYNMAN RULES AND AXIAL VECTOR ANOMALY OF NORMAL FUZZY LATTICE FERMION

DONG Shao-Jing ^,

Center of Theoretical Physics,CCASTWorld Lab.,Beijing and Zhejiang University,Hangzhou

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Abstract：
In the normal fuzzy lattice fermion scheme,a reasonable and self-cosistent Fourier transformation shows a breakdown of the periodicity in the momentum space.It means that there is not special multiplicity.The Feynman rules in weak coupling limit are discussed.The one-loop perturbative calculation gives a regulator Adler-Bell-Jackiw chiral anomaly.

References

[1]

K . G. Wilson, Phys. Rev., D10(1974),2445 .L. Susskind, Phys. Rev., D16(1977), 3031.[2] L. H. Karsten and J. Smit, Phys Lett., 104B (1981), 315; Nucl. Phys., B183(1981), 103.H. B. Neilson, M. Ninomiya, Nucl. Phys, B185(1981), 20; Nucl. Phys., B193(1981), 173.[3] L. A. Zadeh, Injormation and Control, 8(1965), 338.[4] Shao-Jing Dong, High Energy Physics ond Nuclear Physics, 11(1987), 543 (in Chinese)[5] D. Dubois, H. Prade, "Fuzzy Sets And Systems-Theory And Application", New York, 1980.[6] David Lurie, "Particles and Fields", New York, 1968.[7] H. W. Hamber and Chi Min Wu, Phys. Lett., 136B(1984), 255.[8] S. L. Adler, Phys. Rev, 177(1969), 2426;J. S. Bell and R. Jackiw, Nuovo Cimento, 60A(1969), 47:L. Rosenberg, Phys. Rev., 129(1963), 2786.

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DONG Shao-Jing. ON THE FEYNMAN RULES AND AXIAL VECTOR ANOMALY OF NORMAL FUZZY LATTICE FERMION[J]. Chinese Physics C, 1989, 13(3): 226-233.

DONG Shao-Jing. ON THE FEYNMAN RULES AND AXIAL VECTOR ANOMALY OF NORMAL FUZZY LATTICE FERMION[J]. Chinese Physics C, 1989, 13(3): 226-233. 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

ON THE FEYNMAN RULES AND AXIAL VECTOR ANOMALY OF NORMAL FUZZY LATTICE FERMION

DONG Shao-Jing ^,

Corresponding author: DONG Shao-Jing,

Center of Theoretical Physics,CCASTWorld Lab.,Beijing and Zhejiang University,Hangzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-03-05

Abstract: In the normal fuzzy lattice fermion scheme,a reasonable and self-cosistent Fourier transformation shows a breakdown of the periodicity in the momentum space.It means that there is not special multiplicity.The Feynman rules in weak coupling limit are discussed.The one-loop perturbative calculation gives a regulator Adler-Bell-Jackiw chiral anomaly.