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Dynamical gluon mass generation in pure Yang-Mills theory
Over the past five years, large-volume lattice simulations have established that, in the Landau gauge, the gluon propagator is infrared-finite. The most natural way to explain these results in the continuum is through the generation of a nonperturbative, momentum-dependent gluon mass.
In this talk the general nonperturbative mechanism that leads to the generation of such a mass will be reviewed. Particular emphasis will be placed on the presence of a special type of vertices, containing massless poles; when these latter vertices are added to the conventional ones, they trigger a non-Abelian generalization of the well-known Schwinger mechanism, and allow for the gauge-invariant generation of an effective gluon mass.
Within this framework, we will then present both the general derivation of the full non-perturbative equation that governs the momentum evolution of the gluon mass, as well as an all-order study of this mass in terms of the massless bound-state formalism.
Thanks to the existence of a set of powerful relations we will finally demonstrate the exact coincidence of the integral equations obtained in both formalisms.