Severely infrared singular gluon propagator in QCD

dc.creatorGogohia, V.
dc.date2004-04-06
dc.date2004-07-30
dc.date.accessioned2026-07-07T03:52:20Z
dc.date.available2026-07-07T03:52:20Z
dc.descriptionWe have explicitly shown that the infrared structure of the full gluon propagator in QCD is an infite sum over all severe (i.e., more singular than $1/q^2$) infrared singularities. It reflects the zero momentum modes enhancement effect in the true QCD vacuum. Its existence exhibits a characteristic mass (the so-called mass gap), which is responsible for the scale of nonperturbative dynamics in the QCD ground state. By an infrared renormalization of a mass gap only, the deep infrared structure of the full gluon propagator is saturated by the simplest severe infrared singularity, the famous $(q^2)^{-2}$. So, there is no smooth in the infrared limit the full gluon propagator. The main dynamical source of severe infrared singularities in the gluon propagator is the two-loop skeleton term of the corresponding equation of motion, which contains the four-gluon vertices only. Taking into account the distribution nature of severe infrared singularities, the gluon confinement criterion is formulated in a manifestly gauge-invariant way.
dc.description12 pages, no tables, no figures, multiplied typos are corrected, clarification is introduced
dc.identifierhttps://arxiv.org/abs/hep-ph/0404054
dc.identifierhttp://arxiv.org/abs/hep-ph/0404054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/43425
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSeverely infrared singular gluon propagator in QCD
dc.typetext

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