On a generalization of gauge principle at high energies

A model of the Euclidean gauge theory is constructed for the system of interacting scalar and vector fields which is based on a generalized concept of the field itself in the region of high energies. The key role is played by the momentum Lobachevsky four-space with the curvature radius M as a new physical constant (fundamental mass). As a Fourier transform the expansion over unitary representations of the group of motions of the Lobachevsky p-space is used. After going to the corresponding new configurational representation the basic equations of the theory turn into differential-difference ones with the step ∼ 1/M. Local gauge transformations of matter and vector fields are defined in this representation