Geodesic
The full gluon propagator in light-cone gauge and the transversality problem of the polarization operator in infrared region. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 1, pp. 14-23

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A three-gluon vertex that depends on a gauge vectorn $n_\mu$ and is free of kinematic and spurion $(np)^{-1}$ singularities in the physical region is constructed. It is shown that in the case of integer power-law asymptotic behavior of the gluon propagator there is separation of the singular contributions of the single- and two-loop diagrams in the Dyson–Schwinger equation. Necessary conditions for realization of $p^{-4}$ asymptotic behavior are obtained, and it is shown that an important role in their fulfillment is played by the parts of the three-gluon vertex that depend on the gauge vector. A solution of these conditions is found; when they are fulfilled, they lead to infrared asymptotic behaviors of the complete Dyson–Schwinger equation and its single-loop approximation that are mutually compatible. 
@article{TMF_1994_100_1_a1,
     author = {L. G. Vachnadze and N. A. Kiknadze and K. Sh. Turashvili and A. A. Khelashvili},
     title = {The full gluon propagator in light-cone gauge and the transversality problem of the polarization operator in infrared region. {II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {14--23},
     publisher = {mathdoc},
     volume = {100},
     number = {1},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_1_a1/}
}
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L. G. Vachnadze; N. A. Kiknadze; K. Sh. Turashvili; A. A. Khelashvili. The full gluon propagator in light-cone gauge and the transversality problem of the polarization operator in infrared region. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 1, pp. 14-23. http://geodesic.mathdoc.fr/item/TMF_1994_100_1_a1/