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

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dc.creatorKassandrov, Vladimir V.
dc.creatorRizcallah, Joseph A.
dc.date2000-12-29
dc.date.accessioned2026-07-07T03:25:33Z
dc.date.available2026-07-07T03:25:33Z
dc.descriptionThe 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
dc.description20 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0012109
dc.identifierhttp://arxiv.org/abs/gr-qc/0012109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33753
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleTwistor and "weak" gauge structures in the framework of quaternionic analysis
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