Octonionic Non-Abelian Gauge Theory |
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Authors: | B C Chanyal P S Bisht O P S Negi |
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Institution: | 1. Department of Physics, Kumaun University, S.S.J. Campus, Almora, 263601, U.K., India
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Abstract: | We have made an attempt to describe the octonion formulation of Abelian and non-Abelian gauge theory of dyons in terms of 2×2 Zorn vector matrix realization. As such, we have discussed the U(1) e ×U(1) m Abelian gauge theory and U(1)×SU(2) electroweak gauge theory and also the SU(2) e ×SU(2) m non-Abelian gauge theory in term of 2×2 Zorn vector matrix realization of split octonions. It is shown that SU(2) e characterizes the usual theory of the Yang Mill’s field (isospin or weak interactions) due to presence of electric charge while the gauge group SU(2) m may be related to the existence of ’t Hooft-Polyakov monopole in non-Abelian Gauge theory. Accordingly, we have obtained the manifestly covariant field equations and equations of motion. |
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