2012

Ghost propagator and the Coulomb form factor from the lattice

Burgio, G., Quandt, M., Reinhardt, H.

Understand

We calculate the Coulomb ghost propagator G(|p|) and the static Coulomb potential V_C(|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 kappa_gh ~ 0.5 while the Coulomb potential exhibits a string tension larger than the Wilson string tension, sigma_C ~ 2 sigma.
  • This agrees with the Coulomb "scaling" scenario derived from the Gribov-Zwanziger confinement mechanism.

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