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

TL;DR

This paper introduces a novel QCD model based on a generalized Yang-Mills symmetry, predicting dual linear and Coulomb potentials for quark confinement with confions that are confined and non-propagating.

Contribution

It formulates a confining QCD model using a new general Yang-Mills symmetry, deriving fourth-order equations for phase fields and predicting non-propagating confions with specific potential forms.

Findings

Predicts dual linear and Coulomb-like potentials for confinement

Confions have small coupling strength and are permanently confined

Green functions for confions do not propagate in space-time

Abstract

A confining quantum chromodynamics (QCD) model is formulated on the basis of a new general Yang-Mills $SU_3$ symmetry. The general Yang-Mills transformations involve arbitrary vector gauge functions $\omega_\mu(x)$ and Hamilton's characteristic phase functions. We derive fourth-order equations for new `phase fields', which predicts dual linear and Coulomb-like potentials for quark confinement. The quantum of the `phase field' is called `confion'. The confion coupling strength turns out to be small, $g_s^2/(4\pi) \approx 0.2$, based on Cornell's results for charmonium. Confions have indefinite energies. However, such unphysical energies of confions cannot be detected because they are permanently confined within the quark systems. Furthermore, Green functions associated with confions do not propagate in space-time.