A confining quark model and new gauge symmetry

Abstract

We discuss a confining model for quark-antiquark system with a new color $SU_3$ gauge symmetry. New gauge transformations involve non-integrable phase factors and lead to the fourth-order gauge field equations and a linear potential. The massless gauge bosons have non-definite energies, which are not observable because they are permanently confined in quark systems by the linear potential. We use the empirical potentials of charmonium to determine the coupling strength of the color charge $g_s$ and find $g_s^2/(4\pi) \approx 0.2.$ We discuss Feynman-Dyson rules for the confining quark model, which involve propagators with poles of order 2 associated with new gauge fields. The confining quark model may be renormalizable by power counting and compatible with perturbation theory.Comment: 10 page

Confining QCD Model with Linear and 1/r potentials and Non-Propagating `Confion' Based on General Yang-Mills Symmetry

“…1 The cosmic implications of the phase fields (with (SU 3 ) color × (U 1 ) baryon ) with the universal length L s for the late-time cosmic acceleration was discussed in previous works. 1,2,3…”

Neutrino oscillation, finite self-mass and general Yang–Mills symmetry

“…This type of additional condition for the path will make the gYM transformations in previous works [1,2,8] unambiguous. Thus, we have a welldefined property for the characteristic phase function P (x),…”

“…The linear potential produced by color charges of general Yang-Mills symmetry with SU 3 group could provide an explicit confinement mechanism for quarks. [8] Moreover, the corresponding r-independent force produced by extremely small point baryon-charges associated with U 1 could provide an explanation for the late-time accelerated cosmic expansion. [1] We employed gYM symmetry to explore further physical implications of fourth-order gauge field equations in the lepton sector.…”

“…[3,6] However, the leon cannot be directly detected because of its extremely small coupling constant. On the other hand, suppose one considers quark model with gYM symmetry, [2,8] the gauge bosons with large coupling constants are permanently confined in the quark system and, hence, cannot be detected as a free particle with negative energies. Nevertheless, other new ideas are needed for a satisfactory S matrix with the general Yang-Mills symmetry.…”

“…In light of previous discussions, the general Yang-Mills symmetry appears to be interesting and useful because, apart from giving various linear potentials for quark confinement and for late-time accelerated cosmic expansion [1,2,13,15], it may also be able to provide a field-theoretic basis for understanding finite lepton self-mass, neutrino masses and neutrino oscillations.…”