Generalization of the Noether's Identities and Application

Li Ziping

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2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(4) : 320-326

Generalization of the Noether's Identities and Application

Li Ziping ^,

Beijing Polytechnic University, Department of Applid Physics, Beijing 100022

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Abstract：
Starting from the transformation property of the action integral of a system under the local and non-local transformation, we derive the generalized Noether's identities connecting with non-local transformation. The applications of the theory to the Yang-Mills field with high-order derivatives are presented. A new conservative PBRS charge is found which differs from BRS conservative charge. The other conservative charge connecting with non-local transformation is also obtained.

References

[1]

Noether,E,Nachr.Ges.Wiss.Gottingen,Maty.-Phys.Kl.,2（1918）235.[2]李子平，经典和量子约束系统及其对称性质，北京：北京工业大学出版社，1993.[3]李子平，高能物理与核物理，12（1988）784.[4]邝宇平、易余萍，高能物理与核物理，4（1980）286.[5]FradkinE.S,Palchik,M.Ya,Phys.Lett,147B（1984）86.[6]Palchik,M.Ya,Yad.Fiz,42（1985）522.[7]李子平，中国科学，A（9）（1992）977.[8]Lusanna,L.,Riv.Nuovo Cimento,14（1991）1.[9]LiZiping,Int.J.Theor.Phys,26（1987）853.[10]Gitman,D.M.andTyutin,I.V,Quantization of Fields with Constraints,Springer-Verlag,Berlin,1990.[11]LiZiping,J.Phys,A:Math,Gen,24（1991）4261.

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Li Ziping. Generalization of the Noether's Identities and Application[J]. Chinese Physics C, 1995, 19(4): 320-326.

Li Ziping. Generalization of the Noether's Identities and Application[J]. Chinese Physics C, 1995, 19(4): 320-326. 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

Generalization of the Noether's Identities and Application

Li Ziping ^,

Corresponding author: Li Ziping,

Beijing Polytechnic University, Department of Applid Physics, Beijing 100022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-04-05

Abstract: Starting from the transformation property of the action integral of a system under the local and non-local transformation, we derive the generalized Noether's identities connecting with non-local transformation. The applications of the theory to the Yang-Mills field with high-order derivatives are presented. A new conservative PBRS charge is found which differs from BRS conservative charge. The other conservative charge connecting with non-local transformation is also obtained.