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Clifford Fields and the Relativistic Equation of the Nucleon

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Abstract

A relativistic equation for free fields whichtake their values in the Clifford algebra associatedwith the Minkowski metric is shown to be interpretableas the equation of the nucleon. The internal symmetry group SU(2) arises naturally from theassociative algebra structure of the representationspace. The latter structure can be used to constructcoupling terms consistent with the transformationproperties of the interacting fields; in particular, itallows the familiar couplings of the nucleon field withthe electromagnetic field and with the π-mesonfield.

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REFERENCES

  • Bogoliubov, N. N., and Shirkov, D. V. (1959). Introduction to the Theory of Quantized Fields, Interscience, New York.

    Google Scholar 

  • Cantoni, V. (1996). International Journal of Theoretical Physics, 35, 2121.

    Google Scholar 

  • Cantoni, V. (1997). International Journal of Theoretical Physics, 36, 385.

    Google Scholar 

  • Greiner, W., and Mûller, B. (1993). Gauge Theory of Weak Interactions, Springer-Verlag, Berlin.

    Google Scholar 

  • Naimark, M. A. (1962). Les représentations linêaires du groupe de Lorentz, Dunod, Paris.

    Google Scholar 

  • Roman, P. (1965). Advanced Quantum Theory, Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Talebaoui, W., (1995). International Journal of Theoretical Physics, 34, 369.

    Google Scholar 

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Cantoni, V., Semplice, M. Clifford Fields and the Relativistic Equation of the Nucleon. International Journal of Theoretical Physics 37, 1721–1733 (1998). https://doi.org/10.1023/A:1026644725546

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  • DOI: https://doi.org/10.1023/A:1026644725546

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