Particle masses from a non-linear field theory and magnetic charge

A spin and angular momentum dependent version of a mass formula for mesons and baryons is derived by relating the eigenvalue solutions of Heim’s quantum field theory, which reproduce the results of Mac Gregor’s phenomenological model of particle masses, and which are compatible with the existence of magnetic charge, to the interaction energy of a quark/dyon model with magnetic charge. To do this, Schwinger’s ’magnetic model of matter’ is expanded by assuming that its dyons are constituent quarks with a magnetic charge distribution, and thus with magnetic dipole moments and currents. The derived strong interaction energy reproduces the known Breit–Fermi potential, but also provides a Zeeman–/Paschen–Back-like term which can describe respective patterns especially in the mass spectrum of the isoscalar mesons. Based on the non-linear quantum field theory, whose poly-metric approach merges with General Relativity in the macroscopic limit, the model “explains” the masses of the charged leptons, heavy bosons and hadrons – and for the latter, composed in the dyon model, now in an angular momentum dependent form.