INDUCED GAUGE-THEORY AT LARGE-N

We Propose and study at large N a new lattice gauge model, in which the Yang-Mills interaction is induced in the naive one-loop approximation by the heavy scalar field in the adjoint representation. At any dimension of space and any N the gauge fields can be integrated out yielding an effective field theory for the gauge-invariant scalar field, corresponding to eigenvalues of the initial matrix field. This field develops a vacuum average, the fluctuations of which describe elementary excitations of our gauge theory. At N = infinity we find two phases of the model: the strong-coupling phase which may be relevant to QCD (if there are no phase transitions at some critical N), and the weak-coupling phase. We have derived exact nonlinear integral equations for the vacuum average and for the scalar excitation spectrum.