Renormalization group and the high energy behavior of the forward scattering amplitude

On the basis of the renormalization group equations the energy-dependence of the forward scattering amplitude at high energies is derived in the phi3 model in six dimensions. The solution of this problem is obtained by solving functional equations resulting from the homogeneous renormalization group equations in the skelton approximation. The final results are summarized by ReT(s) -- s-1(1n s)sup(-2-c), ImT(s) -- s-1(1n s)sup(-1-c), where T(s) denotes the forward scattering amplitude and c=2/9. (auth.)