Classical model of confinement

TL;DR

This paper presents a classical interpretation of confinement in quantum chromodynamics using Maxwell equations, demonstrating that charged particles are confined within finite regions by magnetic fields analogous to SU(3) solutions.

Contribution

It provides a classical model of confinement based on Maxwell equations, linking classical field solutions to quantum chromodynamics confinement mechanisms.

Findings

Charged particles are confined within finite regions in the classical magnetic field.

Particle trajectories follow magnetic field lines forming compact loops.

An asymptotic expansion describes particle motion in strong fields.

Abstract

The confinement mechanism proposed earlier and then applied successfully to meson spectroscopy by one of the authors is interpreted in classical terms. For this aim the unique solution of the Maxwell equations, an analog of the corresponding unique solution of the SU(3)-Yang-Mills equations describing linear confinement in quantum chromodynamics, is used. Motion of a charged particle is studied in the field representing magnetic part of the mentioned solution and it is shown that one deals with the full classical confinement of the charged particle in such a field: under any initial conditions the particle motion is accomplished within a finite region of space so that the particle trajectory is near magnetic field lines while the latter are compact manifolds (circles). An asymptotical expansion for the trajectory form in the strong field limit is adduced. The possible application of the obtained results in thermonuclear plasma physics is also shortly outlined.