Quaternionic Formulation in Symmetry Breaking Mechanism

Abstract

In this formalism the covariant derivative contains the four potentials associated with four charges and thus leads the different gauge strength for the particles containing electric, magnetic, gravitational and Heavisidian charges. Quaternions representation in spontaneously symmetry of breaking and Higg's mechanics and the equation of motion are derived for free particles (i.e. electric, magnetic, gravitational and Heavisidian charges). The quaternionic gauge theory of quantum electrodynamics has also been developed in presence of electric, magnetic, gravitational and Heavisidian charges.