# Octonionic Gauge Formulation for Dyonic Fields

@article{Dangwal2006OctonionicGF, title={Octonionic Gauge Formulation for Dyonic Fields}, author={Shalini Dangwal and P. S. Bisht and O. P. S. Negi}, journal={arXiv: High Energy Physics - Theory}, year={2006} }

Starting with the generalized field equation of dyons and gravito-dyons, we study the theory of octonion variables to the SU (2) non-Abelian gauge formalism. We demonstrate the resemblance of octonion covariant derivative with the gauge covariant derivative of generalized fields of dyons.Expressing the generalized four-potential, current and fields of gravito-dyons in terms of split octonion variables, the U (1) abelian and SU (2) non-Abelian gauge structure of dyons and gravito-dyons are…

## 9 Citations

### Octonionic Non-Abelian Gauge Theory

- PhysicsInternational Journal of Theoretical Physics
- 2013

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…

### Octonionic Non-Abelian Gauge Theory

- Physics
- 2012

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…

### Unified Split Octonion Formulation of Dyons

- Physics, Geology
- 2008

Demonstrating the split octonion formalism for unified fields of dyons (electromagnetic fields) and gravito-dyons (gravito-Heavisidian fields of linear gravity), relevant field equations are derived…

### Octonion Quantum Chromodynamics

- Physics
- 2012

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…

### Octonion Quantum Chromodynamics

- Physics
- 2012

Starting with the usual definitions of octonions, an attempt has been made to establish the relations between octonion basis elements and Gell-Mannmatrices of SU(3) symmetry on comparing the…

### On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification

- Mathematics
- 2007

The octonionic geometry (gravity) developed long ago by Oliveira and Marques, J. Math. Phys. 26, 3131 (1985) is extended to noncommutative and nonassociative space time coordinates associated with…

### Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge Theories of Dyons

- Mathematics
- 2008

Abstract
Einstein-Schrödinger (ES) non-symmetric theory has been extended to accommodate the Abelian and non-Abelian gauge theories of dyons in terms of the quaternion-octonion metric realization.…