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Lattice studies of the infrared behavior of gluon and ghost propagators are akey probe of confinement scenarios in Yang-Mills theories. However,finite-volume effects become an important issue as the infrared limit isapproached. By considering general quantities -- namely an associatedsusceptibility in the gluon case and properties of the lowest-lying eigenmodeof the Faddeev-Popov matrix in the ghost case -- one can derive rigorous upperand lower bounds for the propagators. The bounds allow a better control overthe extrapolation of lattice results to the infinite-volume limit. In the caseof the gluon propagator, an intuitive statistical argument suggests a precisevolume dependence for the bounds. This dependence is nicely confirmed by thelattice data, leading to a finite gluon propagator at zero momentum. At thesame time, an enhancement of the ghost propagator in the infrared limit seemsunlikely. Our analysis is applied to the case of Landau gauge and SU(2) gaugegroup, using the largest lattice sizes to date.

Infrared behavior and infinite-volume limit of gluon and ghost propagators in Yang-Mills theories