ANTISYMMETRIC TENSOR-FIELDS AND THE WEYL GAUGE-THEORY

The aim of the present paper is to find a spinor current-a source-in t he Weyl non-Abelian gauge theory whose distinguishing feature is that it involves no abstract gauge space. It is shown that the desired spin or representation of the Weyl gauge group can be constructed in the sp ace of antisymmetric tensor fields in the form of a 16-component quant ity for which a gauge-invariant Lagrangian is established. The relatio nship between the Weyl non-Abelian gauge potential and the Cartan tors ion field, and the question of where the interactions in question coul d manifest are discussed.