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

TL;DR

This paper explores the origin of elementary particle mass through first principle QCD and QED potentials, emphasizing the role of dynamical mass generation and the scale dependence of coupling constants.

Contribution

It introduces a method to derive QCD and QED potentials from first principles by incorporating scale-dependent running coupling constants and masses.

Findings

Finite dynamical mass emerges in quantum field theories.

First principle potentials are derived using scale-dependent parameters.

The approach offers insights into quark confinement and electron-positron 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.