非定域量子Noether恒等式及应用

Non-local Quantal Noether Identities and Their Applications

基于高阶微商奇异拉氏量系统的相空间生成泛函 ,导出了定域和非定域变换下的量子正则Noether恒等式 ;对高阶微商规范不变系统 ,导出了位形空间中定域和非定域变换下的量子Noether恒等式 .指出在某些情形下 ,由量子Noether恒等式可导致系统的量子守恒律 .这种求守恒律的程式与量子Noether(第一 )定理不同 .用于高阶微商非AbelChern Simons(CS)理论 ,求出某些非定域等变换下的量子守恒量 .

Based on the phase-space generating functional for a system with a singular higher-order Lagrangian,the quantal canonical Noether identities under the local and non-local transformation in phase space for such system have been derived. For a gauge-invariant system with a higher-order Lagrangian,the quantal Noether identities under the local and non-local transformation in configuration space have also been derived. It has been pointed out that in certain cases the quantal Noether identities may be converted to the conservation laws at the quantum level. This algorithm to derive the quantal conservation laws is significantly different from the first quantal Noether theorem. The applications to the non-Abelian CS theories with higher-order derivatives are given. The conserved quantities at the quantum level for some local and non-local transformation are found respectively. = =