Summing up the Feynman diagrams: Toward quantum gluonodynamics

Abstract

Summing up all Feynman diagrams describing an elementary particle can provide a measure of the energy and, with it, the mass of that particle. Moreover, a single mass quantum can be used to convert the Feynman sum into the particle mass. In the following, a mass formula for the calculation of the baryon and meson masses is introduced and explained. This formula involves calculating the number of possible Feynman diagrams and multiplying it by an elementary mass quantum. The mass formula results from a generalization of the connection between the electromagnetic coupling constant alpha (Sommerfelds constant) and the Rydberg constant. This mass formula adds an energy parametrization to the standard model, an important component that has been missing to date. Afterward, this mass formula is interpreted, leading to an interpretation of the elementary particles that is similar to the way in which molecules are interpreted. In this interpretation, gluons take the place of electrons in the case of elementary particles.