Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian

LONG ZhengWen; Li ZiPing

Chinese Physics C> 2000, Vol. 24> Issue(2) : 106-112

Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian

LONG ZhengWen ^, ,
Li ZiPing

Department of Physics-Electronics, Guizhou University, Guiyang 550025, China2 Department of Applied Physics,Beijing Polytechnic University, Beijing 100022,China

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Abstract：
Based on the configuration-space generating functional obtained by using the Faddeev-Popov trick for a gauge-invariant system and phase- space generating functional obtained by using the Faddeev-Senjanovic method for a constrained Hamiltonian system with a singular higher order Lagrangian respectively, the conservation laws at the quantum level were derived. A preliminary application of the present formulation to the higher-order Maxwell non-Abelian Chern-Sinons(CS) theory is given,the quantal BRS conserved charge and quantal angular momentum for higher-order Maxwell non-Abelian CS term coupled to scalar fields were obtained. The results arising from configuration space generating functional coincide with the result deriving from phase-space generating functional,and the quantal conserved angular momentum differ from the classical one in that one needs to take into account the contribution of the the angular momentum of ghost fields in Maxwell non-Abelian CS theories. The fractional spin property for CS theories is discussed.

References

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LONG ZhengWen and Li ZiPing. Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian[J]. Chinese Physics C, 2000, 24(2): 106-112.

LONG ZhengWen and Li ZiPing. Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian[J]. Chinese Physics C, 2000, 24(2): 106-112. shu

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Received: 1998-12-14
Revised: 1900-01-01

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Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian

LONG ZhengWen ^,
Li ZiPing

Corresponding author: LONG ZhengWen,

Department of Physics-Electronics, Guizhou University, Guiyang 550025, China2 Department of Applied Physics,Beijing Polytechnic University, Beijing 100022,China

Received Date: 1998-12-14
Accepted Date: 1900-01-01
Available Online: 2000-02-05

Abstract: Based on the configuration-space generating functional obtained by using the Faddeev-Popov trick for a gauge-invariant system and phase- space generating functional obtained by using the Faddeev-Senjanovic method for a constrained Hamiltonian system with a singular higher order Lagrangian respectively, the conservation laws at the quantum level were derived. A preliminary application of the present formulation to the higher-order Maxwell non-Abelian Chern-Sinons(CS) theory is given,the quantal BRS conserved charge and quantal angular momentum for higher-order Maxwell non-Abelian CS term coupled to scalar fields were obtained. The results arising from configuration space generating functional coincide with the result deriving from phase-space generating functional,and the quantal conserved angular momentum differ from the classical one in that one needs to take into account the contribution of the the angular momentum of ghost fields in Maxwell non-Abelian CS theories. The fractional spin property for CS theories is discussed.