ИСТИНА

Generalized Haag’s theorem has been proven in SO(1,k) invariant quantum field theory. Apart from the above mentioned k+1 variables there can be arbitrary number of additional coordinates including noncommutative ones in the theory. In SO(1,k) invariant theory new consequences of generalized Haag’s theorem are obtained. It has been proven that the equality of four-point Wightman functions in two theories leads to the equality of elastic scattering amplitudes and thus to the equality of the total cross-sections in these theories. Also it has been shown that at k > 3 the equality of (k+1) - point Wightman functions in two theories leads to the equality of scattering amplitudes of some inelastic processes. In SO(1,1) invariant theory it has been proved that if in one of the theories under consideration S-matrix is equal to unity, then in another theory S-matrix is unity as well.