NORMAL FUZZY LATTICE ——A PROBABLE FERMIONIC ACTION WITHOUT MULTIPLICITY BUT REMAINS CONVARIANT AND CHIRAL LIMIT

DONG Shao-Jing

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(4) : 543-548

NORMAL FUZZY LATTICE ——A PROBABLE FERMIONIC ACTION WITHOUT MULTIPLICITY BUT REMAINS CONVARIANT AND CHIRAL LIMIT

DONG Shao-Jing ^,

Zhejiang University

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Abstract：
We introduce a normal fuzzy lattice fermionic action. If the parameter b introduced in the theory is not of the same order as the spacing a, or even smaller, it will break the karsten and Smit's no-go theorem, which says it is impossible to introduce a lattice fermionic chiral action with correct space-time limit to continuum and without unnecessary fermion modes.

References

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K. G. Wilson, Phys Rev, D10(1974), 2445;G. Schierholz, CERN-TH-4139/83.S Samuel, K. J. M. Moriarty, CERN-TH-4272/85.[2] K. G. Wilson, Erice Lecture Nortes (1975).L Susskind, Phys. Rev., D16(1977), 3031.S. D. Drell, M. Weistein, S. Yankielowicz, Phys. Rev, D14(1976), 487, Phys. Rev., D14(1976), 1627.[3] L H. Karsten, J Smir, Nucl. Phys, B183 (1981), 103; Phys..Lett., 104B (1981), 315.[4] L A Zadeh, Information ond Control, 8(1965), 338.[5] Guo S. H. et al., Commun. in Theor. Phys., 3(1984), 481, 575,GUO S. H. et al, Chincsc Phys. Lett, 3(1985), 409.[6] H.B.Neilson, M.Ninomiya, Nucl. Phys., B185 (1980), 20; Nucl. Phys., B193 (1981), 173[7] D. Dubois, H. Prade, Fuzzy Sets and Systems-Theory and Application, New York, 1980.

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DONG Shao-Jing. NORMAL FUZZY LATTICE ——A PROBABLE FERMIONIC ACTION WITHOUT MULTIPLICITY BUT REMAINS CONVARIANT AND CHIRAL LIMIT[J]. Chinese Physics C, 1987, 11(4): 543-548.

DONG Shao-Jing. NORMAL FUZZY LATTICE ——A PROBABLE FERMIONIC ACTION WITHOUT MULTIPLICITY BUT REMAINS CONVARIANT AND CHIRAL LIMIT[J]. Chinese Physics C, 1987, 11(4): 543-548. 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

NORMAL FUZZY LATTICE ——A PROBABLE FERMIONIC ACTION WITHOUT MULTIPLICITY BUT REMAINS CONVARIANT AND CHIRAL LIMIT

DONG Shao-Jing ^,

Corresponding author: DONG Shao-Jing,

Zhejiang University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-08-05

Abstract: We introduce a normal fuzzy lattice fermionic action. If the parameter b introduced in the theory is not of the same order as the spacing a, or even smaller, it will break the karsten and Smit's no-go theorem, which says it is impossible to introduce a lattice fermionic chiral action with correct space-time limit to continuum and without unnecessary fermion modes.