Quark Confinement from Correlation Functions

Abstract

We study quark confinement by computing the Polyakov loop potential in Yang--Mills theory within different non-perturbative functional continuum approaches [1]. We extend previous studies in the formalism of the functional renormalisation group and complement those with findings from Dyson--Schwinger equations and two-particle-irreducible functionals. These methods are formulated in terms of low order Green functions. This allows to identify a criterion for confinement solely in terms of the low-momentum behaviour of correlators.

8 pages, 3 figures. Talk given at "Xth Quark Confinement and the Hadron Spectrum", Munich, Germany, Oct. 8-12, 2012