Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian

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> 1997, Vol. 21> Issue(1) : 34-43

Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian

Li Ziping ^,

Department of Applied Physics,Beijing Polytechnic University,Beijing 100022

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Abstract：
Based on the phase-space generating functional of a system with a singular Lagrangion,the Ward identities under global transformation in phase are deduced.The quantum conservation laws under the global symmetry transiormation are also derived which is in general different from classical Hoether's ones.The preliminary application of our formulation to the Yang-Mills theory the Ward-Takahashi identity and BRS conserved quantity for BRS transformation are presented.Applying to non-Abelian-Chern-Simons theory the quantum conserved angular momentum (QCAM) are obtained.The QCAM differs form classical one because the former needs to take into account the distribution of angular momentum of ghost innon-Abelian-Chern-Simons theory.

References

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Li Ziping. Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian[J]. Chinese Physics C, 1997, 21(1): 34-43.

Li Ziping. Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian[J]. Chinese Physics C, 1997, 21(1): 34-43. 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

Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian

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: 1997-01-05

Abstract: Based on the phase-space generating functional of a system with a singular Lagrangion,the Ward identities under global transformation in phase are deduced.The quantum conservation laws under the global symmetry transiormation are also derived which is in general different from classical Hoether's ones.The preliminary application of our formulation to the Yang-Mills theory the Ward-Takahashi identity and BRS conserved quantity for BRS transformation are presented.Applying to non-Abelian-Chern-Simons theory the quantum conserved angular momentum (QCAM) are obtained.The QCAM differs form classical one because the former needs to take into account the distribution of angular momentum of ghost innon-Abelian-Chern-Simons theory.