Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-29
JHEP 9809:011,1998
Physics
High Energy Physics
High Energy Physics - Theory
49 pages, latex209, submitted to JHEP
Scientific paper
10.1088/1126-6708/1998/09/011
We formulate the theory of field interactions with higher order anisotropy. The concepts of higher order anisotropic space and locally anisotropic space (in brief, ha-space and la-space) are introduced as general ones for various types of higher order extensions of Lagrange and Finsler geometry and higher dimension (Kaluza-Klein type) spaces. The spinors on ha-spaces are defined in the framework of the geometry of Clifford bundles provided with compatible nonlinear and distinguished connections and metric structures (d-connection and d-metric). The spinor differential geometry of ha-spaces is constructed. There are discussed some related issues connected with the physical aspects of higher order anisotropic interactions for gravitational, gauge, spinor, Dirac spinor and Proca fields. Motion equations in higher order generalizations of Finsler spaces, of the mentioned type of fields, are defined by using bundles of linear and affine frames locally adapted to the nonlinear connection structure.
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