Abstract
We describe a non-perturbative study of the infrared behavior of the axial gauge gluon propagator based on the Dyson equation and Ward identities. We conclude that the propagator Δ μν ( q) displays a q −4 singularity in the infrared limit, and that consequently the axial gauge running coupling constant g A 2)( q) displays a q −2 singularity in the same limit. The only assumption necessary to obtain this conclusion is that the transverse part of the triple-gluon vertex function does not dominate the longitudinal part in the infrared regime.
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