First Principle QCD QED Potentials, Quark Confinement and Electron-Positron Pair Annihilation

Abstract

The mystery of the origin of the mass of the elementary particles persists despite the success of quantum field theories to the highest level of accuracy. Renormalization program has been the essential part of the calculation of the scattering amplitudes where the infinities of the calculated mass of the elementary particles are subtracted for progressive calculation of higher order terms. The mathematical structure of the mass from quantum field theories expressed in the form of infinities suggests that there exists finite dynamical mass in the limit the input mass parameter becomes zero. The Lagrangian recovers symmetry at while the self energy diagrams acquire finite dynamical mass. The first principle QCD and QED potentials are obtained by replacing the fixed mass and coupling constant in Yukawa potential with the scale dependent running coupling constant and the corresponding mass.