Geodesic
Particular solutions of the equations for the lowest Green's functions in the infrared region of quantum chromodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 21-30

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Solutions of the Schwinger–Dyson equations for the ghost and quark propagators in QCD are investigated in the infrared region. A gauge is shown to exist in which the equation for the ghost propagator possesses a free solution. This result is used to substantiate the possibility of the ghost contribution removal from the gauge identity for the quark-gluon vertex in this particular gauge. A new class of solutions of the equation for the quark propagator is obtained under these conditions. This class includes solutions with broken chiral invariance which are non-analytical in the coupling constant. 
@article{TMF_1987_71_1_a2,
     author = {B. A. Arbuzov and A. I. Davydychev},
     title = {Particular solutions of the equations for the lowest {Green's} functions in the infrared region of quantum chromodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {21--30},
     publisher = {mathdoc},
     volume = {71},
     number = {1},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a2/}
}
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B. A. Arbuzov; A. I. Davydychev. Particular solutions of the equations for the lowest Green's functions in the infrared region of quantum chromodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 21-30. http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a2/