A Confining Model for Charmonium and New Gauge Invariant Field Equations

Abstract

We discuss a confining model for charmonium in which the attractive force are derived from a new type of gauge field equation with a generalized $S{U}_3$ gauge symmetry. The new gauge transformations involve non-integrable phase factors with vector gauge functions $\om^a_μ(x)$. These transformations reduce to the usual $S{U}_3$ gauge transformations in the special case $\om^a_μ(x) = \p_μξ^a(x)$. Such a generalized gauge symmetry leads to the fourth-order equations for new gauge fields and to the linear confining potentials. The fourth-order field equation implies that the corresponding massless gauge boson has non-definite energy. However, the new gauge boson is permanently confined in a quark system by the linear potential. We use the empirical potentials of the Cornell group for charmonium to obtain the coupling strength $f^2/(4\pi )\approx 0.19$ for the strong interaction. Such a confining model of quark dynamics could be compatible with perturbation. The model can be applied to other quark-antiquark systems.

6 pages

References in corpus (3)

• Charmonium potential from full lattice QCD
• Space-time translational gauge identities in Abelian Yang-Mills gravity
• A Generalization of Gauge Symmetry, Fourth-Order Gauge Field Equations and Accelerated Cosmic-Expansion

Cited by in corpus (2)

• Quark Confinement, New Cosmic Expansion and General Yang-Mills Symmetry
• Neutrino Oscillation, Finite Self-Mass and General Yang-Mills Symmetry