Is the gauge sector responsible for confinement in the Abelian lattice theory?

Abstract

In the $A_0=0\mathrm{}$ gauge, the Abelian gauge theory QED allows one to separate the gauge-dependent and gauge-invariant vector potentials in a simple manner. It is found that the pseudodynamics of the gauge-variant sector is not sufficient to confine charged particles. The question of confinement devolves upon the form of dynamics postulated for the gauge-invariant vector potentials.