English

Real spinors and real Dirac equation

Mathematical Physics 2023-01-18 v1 math.MP

Abstract

We reexamine the minimal coupling procedure in the Hestenes' geometric algebra formulation of the Dirac equation, where spinors are identified with the 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.

Keywords

Cite

@article{arxiv.1908.04590,
  title  = {Real spinors and real Dirac equation},
  author = {Vaclav Zatloukal},
  journal= {arXiv preprint arXiv:1908.04590},
  year   = {2023}
}

Comments

10 pages, 3 figures

R2 v1 2026-06-23T10:46:12.226Z