Lattice Coulomb propagators, effective energy and confinement

Abstract

We show that in the lattice Hamiltonian limit all Coulomb gauge propagators are consistent with the Gribov-Zwanziger confinement mechanism, with an IR enhanced effective energy for quarks and gluons and a diverging ghost form factor compatible with a dual-superconducting vacuum. Multiplicative renormalizability is ensured for all static correlators, while for non-static ones their energy dependence plays a crucial role in this respect. Moreover, from the Coulomb potential we can extract the Coulomb string tension \sigma_C ~ 2 \sigma.

Comments: 8 pages, 5 figures. Talk given at the conference "Confinement X, Quark Confinement and the Hadron Spectrum", 8-12 October 2012, TUM Campus Garching, Munich, Germany