Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(S3) : 265-274

Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping

Department of Applied Physics, Beijing Polytechnic University, Beijing, China

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

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Li Ziping. Canonical Symmetry in a System with Singular Lagrangian and Ward Identities[J]. Chinese Physics C, 1994, 18(S3): 265-274.

Li Ziping. Canonical Symmetry in a System with Singular Lagrangian and Ward Identities[J]. Chinese Physics C, 1994, 18(S3): 265-274. shu

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Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping

Department of Applied Physics, Beijing Polytechnic University, Beijing, China

Fund Project: Supported by the National Natural Science Foundation of China.

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