## Octonionic Non-Abelian Gauge Theory

**Authors:** B. C. Chanyal, P .S. Bisht, O. P. S. Negi

Abstract We have made an attempt to describe the octonion formulation of Abelian and non-Abelian gauge theory of dyons in terms of 2\times
2 Zorn vector matrix realization. As such, we have discussed the U(1)_{e}\times U(1)_{m}
Abelian gauge theory and U(1)\times SU(2)
electroweak gauge theory and also the SU(2)_{e}\times 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.

**Comments:** 16 Pages.

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### Submission history

[v1] 2012-10-21 13:21:44

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