Asymptotic Freedom of V-A Fermi Interaction

Abstract

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 $s\sim t\sim u\sim E^2\to \infty$ leads to amplitude logarithmically decreasing with energy, thus restoring the unitarity violated at the tree level.

arXiv comment9 pages, 4 figures