Relativistic bound state approach to fundamental forces

Details Relativistic bound state approach to fundamental forces Relativistic bound state approach to fundamental forces

2011-12-29

arxiv.org/abs/1112.6345v1

Physics

General Physics

Scientific paper

To describe the structure of particle bound states of nature, a relativistic bound state formalism is presented, which requires a Lagrangian including scalar coupling of two boson fields. This Lagrangian has to be constrained, leading to the requirement that the fermion fields are localised within the overlap of two boson fields. This gives rise to matrix elements between fermions without divergencies and thus solutions in full space. The underlying mechanisms give rise to two potentials, a boson-exchange potential and one generated dynamically by overlapping boson fields, which can be identified with the long sought confinement potential in hadrons. With minimal requirements on the model, two elementary massless fermions (quantons) - with and without charge - and one gauge boson, hadrons and leptons are described by bound states using electric and magnetic coupling between the charges and spins of quantons. No need is found for colour, Higgs-coupling or supersymmetry.

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