Abstract
It should be of interest whether Dirac’s equation involves all 16 basis elements of his Clifford algebra Cl D . These include the 6 ‘tensorial’ σμv with which the ‘Pauli terms’ are formed. We find that these violate a basic axiom of any *-algebra when Dirac’s ψ is canonical. Then the Dirac operator is spanned only by the 10 elements 1, iγ5, γμ, γμγ5 (which don’t form a basis of Cl D because the σμv are excluded).
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Just, K., Thevenot, J. (2000). Pauli Terms Must Be Absent in the Dirac Equation. In: Abłamowicz, R., Fauser, B. (eds) Clifford Algebras and their Applications in Mathematical Physics. Progress in Physics, vol 18. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1368-0_3
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DOI: https://doi.org/10.1007/978-1-4612-1368-0_3
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