BornInfeld electrodynamics: Clifford number and spinor representations
Abstract
Clifford number formalism for Maxwell equations is considered. The Clifford imaginary unit for spacetime is introduced as coordinate independent form of fully antisymmetric fourthrank tensor. The representation of Maxwell equations in massless Dirac equation form is considered; we also consider two approaches to the invariance of Dirac equation in respect of the Lorentz transformations. According to the first approach, the unknown column is invariant and according to the second approach it has the transformation properties known as spinorial ones. Clifford number representation for nonlinear electrodynamics equations is obtained. From this representation, we obtain the nonlinear like Dirac equation which is the form of nonlinear electrodynamics equations. As a special case we have the appropriate representations for BornInfeld nonlinear electrodynamics.
 Publication:

arXiv eprints
 Pub Date:
 September 2000
 arXiv:
 arXiv:hepth/0009121
 Bibcode:
 2000hep.th....9121C
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics;
 Quantum Physics
 EPrint:
 9 pages, no figures