Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping

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2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(8) : 694-701

Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping ^,

Department of Applied Physics,Beijing Polytechnic University,Beijing 100022

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Abstract：
An algorithm to construct the generator of gauge transformation for a constrained Hamiltonian system is given.The relationships among the coefficients connecting with first-class constraints in the generator is cleared.Based on the phase space generating functional,the corresponding Ward identities in canonical formalism is deduced.The preliminary applications of above results to a model in field theory which is functionally equivalent to the mixed Chern-Simons Lagrangian is discussed in detail.

References

[1]

P.A.M.Dirac,Lectureon Quantum Mechanics,1964,Yeshiva University Press,NewYork.[2]ZipingLi,Chin.Phys.Lett,10（1993）68.[3]ZiPingLi,Europhs.Lett,21（1993）141.[4]L.Castellani,Ann.Phys,（NY）,143（1982）357.[5]C.A.P.GalvaoandJ.B.T.Boechat J.Math.Phys,31（1990）448.[6]H.SuuraandB-L.Young, Phys.Rev,D8（1973）4353.[7]T.Lhallabi,Int.J.Theor.Phys,28（1989）875.[8]T.D.LeeandC.N.Yang,Phys.Rev,128（1962）885.[9]Tung sheng Tu,Hung chun Yin and Tunan Ruan,Nucl Phys,B164（1980）103.[10]李子平，经典和量子约束系统及其对称性质，北京工业大学出版社（1993）.[11]D.M.Gitman and I.v.Tyutin,Quantization of Fields with Constraints,1990,Springer-Verlag,Berlin.[12]Zi ping Li,J.Phys.A:Math.Gen,24（1991）4261.[13]R.Sugano,J.Math.Phys,30（1990）2337,[14]李子平，物理学报，41（1992）710.[15]Zi Ping Li,Int.J.Theor.Phys,26（1987）853.[16]D.Senechal,Phys.Lett,B297（1992）138.[17]邝宇平和易余萍，高能物理与核物理，4（1980）286.

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[19]	Kuang Yu-ping , Yi Yu-ping . WARD-TAKAHASHI IDENTITIES FOR GAUGE.GHOST FIELD PROPER VERTICES. Chinese Physics C, 1980, 4(3): 286-290.
[20]	ZHOU GUANG-ZHAO , SU ZHAO-BING . ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS. Chinese Physics C, 1979, 3(3): 314-326.

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Li Ziping. Canonical Symmetry in a System with Singular Lagrangian and Ward Identities[J]. Chinese Physics C, 1994, 18(8): 694-701.

Li Ziping. Canonical Symmetry in a System with Singular Lagrangian and Ward Identities[J]. Chinese Physics C, 1994, 18(8): 694-701. 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

Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping ^,

Corresponding author: Li Ziping,

Department of Applied Physics,Beijing Polytechnic University,Beijing 100022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-08-05

Abstract: An algorithm to construct the generator of gauge transformation for a constrained Hamiltonian system is given.The relationships among the coefficients connecting with first-class constraints in the generator is cleared.Based on the phase space generating functional,the corresponding Ward identities in canonical formalism is deduced.The preliminary applications of above results to a model in field theory which is functionally equivalent to the mixed Chern-Simons Lagrangian is discussed in detail.