Asymptotic Freedom of V-A Fermi Interaction

We consider the V-A Fermi interaction and apply an earlier developed method for summing up the leading asymptotics for scattering amplitudes in non-renormalizable theories. We consider the amplitude of fermion-antifermion scattering and derive the corresponding RG equation that sums the leading logarithmic contributions just like in renormalizable models. Numerical solution of this equation in the asymptotic regime s ∼ t ∼ u ∼ E 2 → ∞ leads to amplitude logarithmically decreasing with energy, thus restoring the unitarity violated at the tree level.