ИСТИНА

Consequences of the generalized Haag’s theorem are obtained in S O(1,1), S O(1,3) invariance of the theory as well as in the general case of SO(1, k) symmetry with arbitrary k. For two fields connected by unitary transformation at equal time it is proved that: in case of S O(1,1) symmetry from triviality of one of the fields the triviality of the other follows; in case of S O(1,3) symmetry elastic cross sections and total ones are equal;in case of S O(1, k), k >3 not only elastic and total cross sections are equal, but also amplitudes of some inelastic processes coincide.