Quantum Field Theory and the Internal States of Elementary Particles

Abstract: A new application of quantum field theory is developed that gives a description of the internal dynamics of dressed elementary particles and predicts their masses. The fermionic and bosonic quantum fields are treated as interdependent fields satisfying coupled quantum field equations, all expressed at the same space-time coordinate. Quantization is realized by expanding the quantum fields in terms of fermionic creation and annihilation operators. This approach is applied in a QCD description of the light quarks with a zero Higgs field. Originally massless and pointlike, an isolated quark (described in its own center-of-mass) acquires mass and a finite extent when treated as an interacting system of quark and gluon fields. The binding mechanism of this localized system has a topological character, being a consequence of the non-linear nature of QCD, while being insensitive to the magnitude of the coupling constant to lowest order. To prevent this system from collapsing general relativity is introduced. The quark stabilizes at a radius of 8.8 Planck lengths and acquires a mass of 3.2 MeV, in remarkable agreement with accepted phenomenological values. It is suggested that the two higher generations of quarks are associated with the other two real solutions of the Higgs field equations.