A non-perturbative study of the correlation functions of three-dimensional Yang-Mills theory

Understand

Yang-Mills theory is studied in three dimensions using the equations of motion of the $1$PI and $3$PI effective actions.

• The employed self-contained truncation includes the propagators, the three-point functions and the four-gluon vertex dynamically.
• In the gluon propagator also two-loop diagrams are taken into account.
• The higher gluonic correlation functions show sizable deviations from the tree-level only at low momenta.