The real-spinor form of the Dirac equation, under a two-sided local Lorentz transformation rule, yields a non-Abelian bivector gauge field that generalizes electromagnetism.
Hestenes, Observables, operators, and complex numbers in the Dirac theory , J
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Real spinors and real Dirac equation
The real-spinor form of the Dirac equation, under a two-sided local Lorentz transformation rule, yields a non-Abelian bivector gauge field that generalizes electromagnetism.