Infrared singularities of the gluon propagator and quark confinement in the limit of an infinite number of colors
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 52-56
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An exact solution is obtained for the quark propagator in chromodynamics with neglect of the gluon-gluon interaction in the limit $N\to\infty$ for different asymptotic behaviors of the gluon propagator as $k\to 0$. It is shown that a singularity of the type $k^{-2n}$, $n\leqslant 2$, leads to quark confinement.
@article{TMF_1983_54_1_a4,
author = {A. A. Slavnov},
title = {Infrared singularities of the gluon propagator and quark confinement in the limit of an~infinite number of colors},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {52--56},
year = {1983},
volume = {54},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a4/}
}
TY - JOUR AU - A. A. Slavnov TI - Infrared singularities of the gluon propagator and quark confinement in the limit of an infinite number of colors JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1983 SP - 52 EP - 56 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a4/ LA - ru ID - TMF_1983_54_1_a4 ER -
%0 Journal Article %A A. A. Slavnov %T Infrared singularities of the gluon propagator and quark confinement in the limit of an infinite number of colors %J Teoretičeskaâ i matematičeskaâ fizika %D 1983 %P 52-56 %V 54 %N 1 %U http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a4/ %G ru %F TMF_1983_54_1_a4
A. A. Slavnov. Infrared singularities of the gluon propagator and quark confinement in the limit of an infinite number of colors. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 52-56. http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a4/
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