高阶微商规范不变系统的整体对称性和量子守恒律

分别从Faddeev–Popov(FP)和Faddeev–Senjanovic(FS)路径积分量子化方法对高阶微商规范不变系统导致的位形空间和相空间生成泛函出发,导出规范系统在量子水平下的守恒律,用于高阶Maxwell非AbelChern–Simons(CS)理论.得到了高阶Maxwell非AbelCS理论与标量场耦合系统的量子BRS守恒荷和量子守恒角动量,无论从位形空间或相空间的生成泛函出发,其结果是相同的.并对CS理论中的分数自旋性质给予了讨论.

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

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.