The gauge fields and the Lorentz group

The role of the Lorentz group in the gauge field theory in the framework of the tetrad theory of gravitation is considered. It is shown that in the tetrad theory covariant with respect to arbitrary tetrad transformations no gauge field is connected with the Lorentz group. A gauge field of the third rank produced by the corresponding Noether invariant (the tetrad spin angular-momentum) is introduced by applying the gauge field theory to the group of tetrad Lorentz transformations with constant parameters. It is shown that in the limit of the special relativistic field theory the tetrad spin angular-momentum coincides with the spin angular-momentum of the fermion fields. (author)