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

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[18]	ZHOU Guang-Zhao , GUO Han-Ying , WU Ke , SONG Xing-Chang . SYMMETRICAL ANOMALY, UNSYMMETRICAL ANOMALY AND EFFECTIVE LAGRANGIAN. Chinese Physics C, 1984, 8(4): 508-512.
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[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.