New insights on non-perturbative Yang-Mills

Details New insights on non-perturbative Yang-Mills New insights on non-perturbative Yang-Mills

2010-06-14

arxiv.org/abs/1006.2704v1

AIP Conf.Proc.1296:177-182,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Invited talk at XI Hadron Physics, Maresias, S\~ao Paulo, Brazil, 21-26 March, 2010

Scientific paper

10.1063/1.3523164

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.

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