关于幺正对称与守恒量

ON UNIJARITY SYMMETRY AND CONSERVATION LAW

本文不借助于拉氏体制的Nother定理,直接从对称变换保持系统的动力学方程(以及对易关系)不变出发,推导SU(n)内部对称下,所产生的守恒量。并将结果应用于同位旋对称和非Abel规范理论中的同步对称。同步对称不变性导致场的守恒角动量表明,自旋和同位旋对场的角动量均有贡献。

It is derived in this paper by means the invariant of symmetry transformation kinetic equations that conservation laws will be genercfed under the SU (n) internal symmetry without the use of Noether theorem of Lagrangian formalism. And this result is applied to isospin symmetry and synchronous symmetrty in the non—Abelan gauge theory. The invariance of synchronous symmetey leads to the conservative angular momentum of the field, Ishich shows both the spin and isospin contribute to angular momentum.