Confinement from Correlation Functions

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 stud-ies 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 confine-ment solely in terms of the low-momentum behaviour of correlators. Xth Quark Confinement and the Hadron Spectrum