How to extract information from Green's functions in Landau gauge

Understand

The infrared behavior of gluon and ghost propagators offers a crucial test of confinement scenarios in Yang-Mills theories.

• A nonperturbative study of these propagators from first principles is possible in lattice simulations, but one must consider significantly large lattice sizes in order to approach the infrared limit.
• We propose constraints based on general properties of the propagators to gain control over the extrapolation of data to the infinite-volume limit.
• These bounds also provide a way to relate the propagators to simpler, more intuitive quantities.