Dyson-Schwinger approach to strongly coupled theories

Understand

Although nonperturbative functional methods are often associated with low energy Quantum Chromodynamics, contemporary studies indicate that they provide reliable tools to characterize a much wider spectrum of strongly interacting many-body systems.

• In this review, we aim to provide a modest overview on a few notable applications of Dyson-Schwinger equations to QCD and condensed matter physics.
• After a short introduction, we lay out some formal considerations and proceed by addressing the confinement problem.
• We discuss in some detail the heavy quark limit of Coulomb gauge QCD, in particular the simple connection between the nonperturbative Green's functions of Yang-Mills theory and the confinement potential.