1205.5674 (G. Burgio et al.)

Ghost propagator and the Coulomb form factor from the lattice    [PDF]

G. Burgio, M. Quandt, H. Reinhardt

We calculate the Coulomb ghost propagator G(|p|) and the static Coulomb potential Vc(|r|) for SU(2) Yang-Mills theory on the lattice. In view of possible scaling violations related to deviations from the Hamiltonian limit we use anisotropic lattices to improve the temporal resolution. We find that the ghost propagator is infrared enhanced with an exponent k ~ 0.5 while the Coulomb potential exhibits a string tension larger than the Wilson string tension, sigma_c ~ 2 sigma_W. This agrees with the Coulomb "scaling" scenario derived from the Gribov-Zwanziger confinement mechanism.

View original: http://arxiv.org/abs/1205.5674