We reexamine the minimal coupling procedure in Hestenes’ geometric algebra formulation of the Dirac equation, where spinors are identified with even elements of the real Clifford algebra of spacetime. This point of view, as we argue, leads naturally to a non-Abelian generalisation of the electromagnetic gauge potential.

中文翻译：

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实数旋量和实数狄拉克方程

我们重新检查了 Hestenes 的狄拉克方程几何代数公式中的最小耦合过程，其中旋量被识别为时空的真实克利福德代数的偶数元素。正如我们所争论的那样，这种观点自然会导致电磁规范势的非阿贝尔概括。