Abstract

The possibility that solutions of the Schwinger-Dyson equation for the gluon propagator increase at large distances is investigated in the «gauge technique». Without any assumption on the four-gluon vertex function, we find that solutions with this property do not exist, if the interacting gluon propagator has the same spin structure of the free one. We set up an integral equation for the discontinuity of the propagator, with its complete kinematical structure, and show that a stronger infrared singularity is possible in this case.

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