Abstract. On the basis of the general principles of a gauge field theory the gauge theory for the Poincaré–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 momenta, 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. After the geometrical interpretation of the theory spacetime becomes a Weyl–Cartan space as a result of localization of the Poincaré–Weyl group.

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