Twistor and "weak" gauge structures in the framework of quaternionic analysis

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The earlier proposed conditions of (bi)quaternionic differentiability are nonlinear, give rize to the 2-spinor and the self-dual gauge structures and may be considered as the it generating system of equations (GSE) with respect to the source-free Maxwell, Yang-Mills and eikonal equations. We present the general solution of the GSE in terms of twistor variables, analize its rather specific gauge symmetry and demonstrate the relation of GSE to the equations of shear-free null congruences and, consequently, - to effective metrics of Kerr- Shild type. The concept of particles as singularities of physical fields associated with the solutions of GSE is developed
20 pages, 2 figures

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General Relativity and Quantum Cosmology, High Energy Physics - Theory, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/33753

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0012109
 http://arxiv.org/abs/gr-qc/0012109

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arXiv