2024/10/09 by Christopher T. Hill, Hill, Christopher T. · 1 citation
Chemistry · Materials Science · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Inorganic Fluorides and Related Compounds #Magnetism in coordination complexes #Nuclear Theory (nucl-th) #Synthesis and Properties of Aromatic Compounds
paper · pdf · doi:10.48550/arxiv.2410.06887
openalex publication_date 2024/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We develop a dynamical, Lorentz invariant theory of composite scalars in configuration space consisting of chiral fermions, interacting by the perturbative exchange of a massive "gluon" of coupling g0 and mass M02 (the coloron model). The formalism is inspired by, but goes beyond, old ideas of Yukawa and the Nambu-Jona-Lasinio (NJL) model. It yields a non-pointlike internal wave-function of the bound state, ϕ(r), which satisfies a Schrödinger-Klein-Gordon (SKG) equation with eigenvalue μ2. For super-critical coupling, g0 >g0c, we have μ2< 0 leading to spontaneous symmetry breaking. The binding of chiral fermions is semiclassical, and not loop-level as in NJL. The mass scale is determined by the interaction as in NJL. We mainly focus on the short-distance, large M02 limit, yielding an NJL pointlike interaction, but the bound state internal wave-function, ϕ(r), remains spatially extended and dilutes ϕ(0). This leads to power-law suppression of the induced Yukawa and quartic couplings and requires radically less fine-tuning of a hierarchy than does the NJL model. We include a discussion of loop corrections of the theory. A realistic top--condensation model appears possible.