Quark confinement from colour confinement

• DOI: 10.1016/j.physletb.2010.01.009
• Publication Date: 2010-01-16T09:16:11Z
• Authors: Jens Braun; Holger Gies; Jan M. Pawlowski
• Keywords: High Energy Physics - Theory; Nuclear and High Energy Physics; High Energy Physics - Lattice (hep-lat); FOS: Physical sciences; 01 natural sciences; High Energy Physics - Phenomenology; High Energy Physics - Lattice; High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); 0103 physical sciences

5 pages, 1 figure<br/>We relate quark confinement, as measured by the Polyakov-loop order parameter, to color confinement, as described by the Kugo-Ojima/Gribov-Zwanziger scenario. We identify a simple criterion for quark confinement based on the IR behaviour of ghost and gluon propagators, and compute the order-parameter potential from the knowledge of Landau-gauge correlation functions with the aid of the functional RG. Our approach predicts the deconfinement transition in quenched QCD to be of first order for SU(3) and second order for SU(2) -- in agreement with general expectations. As an estimate for the critical temperature, we obtain T_c=284MeV for SU(3).<br/>