Asymptotic solution of Schwinger -- Dyson equation for the gluon propagator in the infrared region

dc.creatorAlekseev, A. I.
dc.date1995-12-22
dc.date.accessioned2026-07-07T04:21:46Z
dc.date.available2026-07-07T04:21:46Z
dc.descriptionThe equation for the gluon propagator in the approach of Baker-Ball-Zachariasen is considered. The possibility of non-integer power infrared behaviour is studied, $D(q) \sim (q^2)^{-c}$, $q^2 \rightarrow 0$. It is shown that the characteristic equation for the exponent has no solutions at $-1\leq c\leq 3$. The approximations made to obtain the closed integral equation are analysed and the conclusion on the infrared behaviour of the gluon propagator $D(q) \sim 1/(q^2)^2$, $q^2 \rightarrow 0$ is made when the transverse part of the triple gluon vertex is taken into account.
dc.description11 pages, LATEX
dc.identifierhttps://arxiv.org/abs/hep-th/9512185
dc.identifierhttp://arxiv.org/abs/hep-th/9512185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54456
dc.subjectHigh Energy Physics - Theory
dc.titleAsymptotic solution of Schwinger -- Dyson equation for the gluon propagator in the infrared region
dc.typetext

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