On grand unified SU(8)sub(L) x SU(8)sub(R) model

In the grand unified SU(8)sub(L)xSU(8)sub(R) model with intermediate symmetry hierarchy the required tensor content of the scalar multiplets is found and their influence on the property of the asymptotic freedom of the model in the gauge sector is studied. It is shown that tensors up to the fourth rank are to be introduced in order to achieve the required symmetry hierarchy. In the case of absence of spontaneous violation of the fermion number the tensors up to the sixth rank are needed. It is found that in a general case there is no asymptotic freedom in the model. A possible connection between the absence of the asymptotic freedom and the existence of an internal structure of leptons and quarks is discussed