Abstract
The Landau-gauge gluon and ghost correlation functions obtained in lattice simulations can be reproduced qualitatively and, to a certain extent, quantitatively if a gluon mass is added to the standard Faddeev-Popov action. This has been tested extensively at one loop, for the two and three point correlation functions of the gluons, ghosts and quarks. In this article, we push the comparison to two loops for the gluon and ghost propagators. The agreement between lattice results and the perturbative calculation considerably improves. This validates the Curci-Ferrari action as a good phenomenological model for describing the correlation functions of Yang-Mills theory in the Landau gauge. It also indicates that the perturbation theory converges fairly well, in the infrared regime.
Highlights
During the last two decades, there has been intense activity aimed at studying the long-distance properties of the correlation functions of quantum chromodynamics (QCD) in the Landau gauge
After extracting the divergences of the various master integrals according to Ref. [49] and implementing the IR safe renormalization conditions, the decomposition of the inverse gluon propagator and of the inverse ghost dressing function into master integrals can be written formally as
Where the Zi are Prelated to the finite parts of the renormalization factors, I∈M represents the sum over the finite master integrals and the coefficients RGðIÞ and RFðIÞ are rational functions of the external momentum p which depend on the considered integral
Summary
During the last two decades, there has been intense activity aimed at studying the long-distance properties of the correlation functions of quantum chromodynamics (QCD) in the Landau gauge. A wide range of approaches (both analytic and numerical), concluded that the gluon propagator saturates in the infrared, while the ghost propagator diverges. This behavior is consistent with the presence of a gluon “mass,” which is found to be of the order of 500 MeV. The origin of this mass is, still strongly debated.
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