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Octonion Quantum Chromodynamics

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Abstract

Starting with the usual definitions of octonions, an attempt has been made to establish the relations between octonion basis elements and Gell-Mann λ matrices of SU(3) symmetry on comparing the multiplication tables for Gell-Mann λ matrices of SU(3) symmetry and octonion basis elements. Consequently, the quantum chromo dynamics (QCD) has been reformulated and it is shown that the theory of strong interactions could be explained better in terms of non-associative octonion algebra. Further, the octonion automorphism group SU(3) has been suitably handled with split basis of octonion algebra showing that the SU(3) C gauge theory of colored quarks carries two real gauge fields which are responsible for the existence of two gauge potentials respectively associated with electric charge and magnetic monopole and supports well the idea that the colored quarks are dyons.

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Acknowledgements

One of us (O.P.S.N.) acknowledges the financial support from Third World Academy of Sciences, Trieste (Italy) and Chinese Academy of Sciences, Beijing under UNESCO-TWAS Associateship Scheme. He is also thankful to Prof. Yue-Liang Wu for his hospitality and research facilities at ITP and KITPC, Beijing (China).

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Authors and Affiliations

  1. Department of Physics, Kumaun University, S.S.J. Campus, Almora, 263601, UK, India

    B. C. Chanyal, P. S. Bisht & O. P. S. Negi

  2. Institute of Theoretical Physics, Chinese Academy of Sciences, Zhong Guan Cun East Street 55, P.O. Box 2735, Beijing, 100190, P.R. China

    Tianjun Li & O. P. S. Negi

Authors
  1. B. C. Chanyal
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  2. P. S. Bisht
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  3. Tianjun Li
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  4. O. P. S. Negi
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Correspondence to O. P. S. Negi.

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Chanyal, B.C., Bisht, P.S., Li, T. et al. Octonion Quantum Chromodynamics. Int J Theor Phys 51, 3410–3422 (2012). https://doi.org/10.1007/s10773-012-1222-7

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  • DOI: https://doi.org/10.1007/s10773-012-1222-7

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