## 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.

**Download:** **PDF**

### Submission history

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

**Unique-IP document downloads:** 167 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*