Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-11
Phys.Rev. D74 (2006) 064012
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 27 pages, no figures
Scientific paper
10.1103/PhysRevD.74.064012
On the basis of the general principles of a gauge field theory the gauge theory for the Poincar\'{e}-Weyl group is constructed. It is shown that tetrads are not true gauge fields, but represent functions from true gauge fields: Lorentzian, translational and dilatational ones. The equations of gauge fields which sources are an energy-momentum tensor, orbital and spin momemta, and also a dilatational current of an external field are obtained. A new direct interaction of the Lorentzian gauge field with the orbital momentum of an external field appears, which describes some new effects. Geometrical interpretation of the theory is developed and it is shown that as a result of localization of the Poincar\'{e}-Weyl group spacetime becomes a Weyl-Cartan space. Also the geometrical interpretation of a dilaton field as a component of the metric tensor of a tangent space in Weyl-Cartan geometry is proposed.
Babourova Olga V.
Frolov Boris N.
Zhukovsky Ch. V.
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