Abstract
The generator of electromagnetic gauge transformations in the Dirac equation has a unique geometric interpretation and a unique extension to the generators of the gauge group SU(2) × U(1) for the Weinberg-Salam theory of weak and electromagnetic interactions. It follows that internal symmetries of the weak interactions can be interpreted as space-time symmetries of spinor fields in the Dirac algebra. The possibilities for interpreting strong interaction symmetries in a similar way are highly restricted.
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References
D. Hestenes,Space-Time Algebra (Gordon and Breach, New York, 1966).
D. Hestenes,J. Math. Phys. 8, 798 (1967).
D. Hestenes,J. Math. Phys. 14, 893 (1973); the appendices are most relevant to the present article.
D. Hestenes,J. Math. Phys. 16, 556 (1975).
D. Hestenes and G. Sobczyk,Clifford Algebra for Physicists (Addison-Wesley, Reading, Massachusetts), to be published.
E. Abers and B. Lee,Phys. Rep. 9, 1 (1973).
D. Hestenes,J. Math. Phys. 8, 1046 (1967).
D. Hestenes,J. Math. Phys. 8, 809 (1967).
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Hestenes, D. Space-time structure of weak and electromagnetic interactions. Found Phys 12, 153–168 (1982). https://doi.org/10.1007/BF00736846
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DOI: https://doi.org/10.1007/BF00736846