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P and CP violation mechanisms in nonassociative field theory

  • Elementary Particle Physics and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

The octonion spinor field is studied. The nonassociativeness of the algebra makes it possible to introduce a new quantum number — the associator as a partner of spin — as a measure of nonassociativeness and as a generator of the Lorentz group. This makes it possible to classify a particle by spin and by the associator. In this formalism the eigenvalues of the C, P, and T operators can be determined and the superselection rules which reveal the mechanism of P and CP violation can be obtained. In particular, when the associator changes by one we have P violation and when it changes by two we have CP violation. This is confirmed by analysis of the diagrams describing the P- and CP-odd particle decays.

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Literature cited

  1. D. F. Kurdgelaidze, Introduction to Nonassociative Classical Field Theory [in Russian], Metsniereba, Tbilisi (1987).

    Google Scholar 

  2. D. F. Kurdgelaidze, Acta Phys. Hungarica,57, 79 (1985).

    Google Scholar 

  3. D. F. Kurdgelaidze, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 58 (1986).

    Google Scholar 

  4. A. N. Akhiezer and V. K. Berestetskii, Quantum Electrodynamics [in Russian], Nauka, Moscow (1969), p. 162.

    Google Scholar 

  5. V. de Alfaro et al., Currents in Hadron Physics [Russian translation], Mir, Moscow (1976), p. 318.

    Google Scholar 

  6. M. Kobayashi and T. Maskawa, Prog. Theor. Phys.,49, 652 (1973).

    Google Scholar 

  7. D. F. Kurdgelaidze, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 22 (1986).

    Google Scholar 

  8. I. B. Khriplovich, Usp. Fiz. Nauk,155, 323 (1988).

    Google Scholar 

  9. S. L. Adler, Phys. Rev. Lett.,57, 167 (1986).

    Google Scholar 

  10. N. G. Ural'tsev and V. A. Khoze, Yad. Fiz.,47, 1687 (1988).

    Google Scholar 

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Authors and Affiliations

  1. Tbilisi Institute of Medicine, USSR

    D. F. Kurdgelaidze & G. A. Begeluri

Authors
  1. D. F. Kurdgelaidze
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  2. G. A. Begeluri
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 92–97, October, 1990.

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Kurdgelaidze, D.F., Begeluri, G.A. P and CP violation mechanisms in nonassociative field theory. Soviet Physics Journal 33, 890–894 (1990). https://doi.org/10.1007/BF00897316

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  • DOI: https://doi.org/10.1007/BF00897316

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