A specific mapping is introduced to reduce the Dirac action to the non-relativistic (Pauli - Schrödinger) action for spinors. Using this mapping, the structures of the vector and axial vector currents in the non-relativistic theory are obtained. The implications of the relativistic Ward identities in the non-relativistic limit are discussed. A new non-abelian type of current in the Pauli - Schrödinger theory is obtained. As we show, this is essential for the closure of the algebra among the usual currents. The role of parity in the non-relativistic theory is also discussed.

中文翻译：

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转子，新潮流及其代数的非相对论性约简

引入了特定的映射，以将狄拉克（Dirac）动作减少为棘手的非相对论（Pauli-Schrödinger）动作。使用这种映射，可以获得非相对论中的矢量和轴向矢量电流的结构。讨论了相对论沃德身份在非相对论极限中的含义。Pauli-Schrödinger理论中获得了一种新的非阿贝尔电流类型。正如我们所展示的，这对于平常代数之间的代数封闭至关重要。还讨论了平价在非相对论中的作用。