New insights on non-perturbative Yang-Mills
Abstract
In this talk we review some recent results on the infrared properties of the gluon and ghost propagators in pure Yang-Mills theories. These results are obtained from the corresponding Schwinger-Dyson equation formulated in a special truncation scheme, which preserves gauge invariance. The presence of massless poles in the three gluon vertex triggers the generation of a dynamical gluon mass (Schwinger mechanism in d=4), which gives rise to an infrared finite gluon propagator and ghost dressing function. As a byproduct of this analysis we calculate the Kugo-Ojima function, required for the definition of the non-perturbative QCD effective charge within the pinch technique framework. We show that the numerical solutions of these non-perturbative equations are in very good agreement with the results of SU(3) lattice simulations.
Keywords
Cite
@article{arxiv.1006.2704,
title = {New insights on non-perturbative Yang-Mills},
author = {Arlene C. Aguilar},
journal= {arXiv preprint arXiv:1006.2704},
year = {2010}
}
Comments
Invited talk at XI Hadron Physics, Maresias, S\~ao Paulo, Brazil, 21-26 March, 2010