A Trick of Loop Integral and a Look on the Hierarchy Problem

Abstract

A regularization scheme which is motivated by the Bose-Einstein condensation is proposed. The energy of the virtual particle is considered as discrete. Summing them and regulating the summation by the Riemann ζ function can give the result of loop integral. All the divergences vanish, almost the same results can be got as the dimensional regularization. The prediction beyond dimensional regularization is also shown in the quantum electro-dynamics (QED). The gauge hierarchy problem of the radiative correction of scalar mass completely vanish.