1997/03/18 by Z. Ya. Turakulov, Turakulov, Z. Ya.
Engineering · Mathematics · Medicine · #Differential Geometry (math.DG) #FOS: Mathematics #Geophysics and Sensor Technology #Medical Imaging Techniques and Applications #dg-ga #math.DG
paper · pdf · doi:10.48550/arxiv.dg-ga/9703011
Extended version of talk given on XXI International Colloquium on Group Theoretic Methods in Physics, Goslar, July, 16-21, 1996; 12 pages, LaTeX 2.09; e-mail: [email protected]
arxiv created 1997/03/18 · openalex publication_date 1997/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An explicit model of fiber bundle with local fibers being disinct copies of vector 3-space is introduced. They are endowed with frames which are used as local isotopic ones. The field local of isotopic frames is considered as gauge field itself while the form of gauge connections is derived from it. A covariant equation for the field of local frames is found. It is shown that Yang-Mills equation follows from it, but variety of solutions of the new equation is highly reduced in such that no ambiguities (Yang-Wu and vacuum ones) arise. It is shown that Lagrangian for the field gives non-zero trace for the stress-energy tensor and zero value for spin of the field of plane wave. Some new solutions for the fields of punctual source and spherical wave are found.