Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping

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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Supported by the National Natural Science Foundation of China.

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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

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.