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

Abstract

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. Also the couplings derived from the vertices agree well down to a few GeV. In addition, different methods to subtract spurious divergences are explored.

Comments: 6 pages, 6 figures, Proceedings of Excited QCD 2016, 6-12 March 2016, Costa da Caparica, Portugal