Coulomb Confinement from the Yang-Mills Vacuum State in 2+1 Dimensions

Understand

The Coulomb-gauge ghost propagator, and the color-Coulomb potential, are computed in an ensemble of configurations derived from our recently proposed Yang-Mills vacuum wavefunctional in 2+1 dimensions.

• The results are compared to the corresponding values obtained by standard Monte Carlo simulations in three Euclidean dimensions.
• The agreement is quite striking for the Coulomb-gauge ghost propagator.
• The color-Coulomb potential rises linearly at large distances, but its determination suffers from rather large statistical fluctuations, due to configurations with very low values of $\mu_0$, the lowest eigenvalue of the Coulomb-gauge Faddeev-Popov operator.