2023-06-04   27882

Spinor Products and Lorentz Symmetry

The Dirac equation is an equation of motion for a free spinor field. Article 21794 shows that the Dirac equation has symmetries corresponding to every spacetime isometry in the identity component of the Lorentz group. This article constructs two-spinor products that are invariant under those symmetry transformations, generalized to an arbitrary number of dimensions of spacetime and arbitrary signature. Some other properties of these two-spinor products are also explored.

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www.cphysics.org updated 2023-06-05