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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {1987},
     volume = {71},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a2/}
}
TY  - JOUR
AU  - B. A. Arbuzov
AU  - A. I. Davydychev
TI  - Particular solutions of the equations for the lowest Green's functions in the infrared region of quantum chromodynamics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 21
EP  - 30
VL  - 71
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a2/
LA  - ru
ID  - TMF_1987_71_1_a2
ER  - 
%0 Journal Article
%A B. A. Arbuzov
%A A. I. Davydychev
%T Particular solutions of the equations for the lowest Green's functions in the infrared region of quantum chromodynamics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 21-30
%V 71
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a2/
%G ru
%F TMF_1987_71_1_a2
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/

[1] Baker M., Zachariasen F., Phys. Lett., 108B:3 (1982), 206–208 | DOI

[2] Pagels H., Phys. Rev., D15:10 (1977), 2991–3002

[3] Efimov G. V., Infrakrasnaya asimptotika i konfainment, Preprint R2-84-716, OIYaI, Dubna, 1984

[4] Mandelstam S., Phys. Rev., D20:12 (1979), 3223–3238 ; Baker M., Ball J. S., Zachariasen F., Nucl. Phys., B186:3 (1981), 531–572 | DOI

[5] Alekseev A. I., Arbuzov B. A., Baikov V. A., TMF, 52:2 (1982), 187–198

[6] Slavnov A. A., TMF, 10:2 (1972), 153–161 ; Taylor J. C., Nucl. Phys., B33:2 (1971), 436–444 | DOI | MR

[7] Alekseev A. I., Arbuzov B. A., Baikov V. A., YaF, 34:5 (11) (1981), 1374–1381

[8] Ball J. S., Zachariasen F., The Quark Propagator in Axial Gauge, Preprint CALT-68-841, Caltech, Pasadena, 1981

[9] Slavnov A. A., TMF, 54:1 (1983), 52–56 | MR

[10] Arbuzov B. A., Chastnoe reshenie sistemy uravnenii dlya nizshikh funktsii Grina v abelevoi khromodinamike i parametry glyuonnykh i kvarkovykh kondensatov v KKhD, Preprint IFVE 85-55, IFVE, Serpukhov, 1985

[11] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 | MR

[12] Becchi C., Rouet A., Stora R., Commun. Math. Phys., 42:2 (1975), 127–162 | DOI | MR

[13] Arbuzov B. A., Baikov V. A., Boos E. E., Kurennoi S. S., YaF, 38:5 (11) (1982), 1340–1348

[14] Solovev L. D., DAN SSSR, 110:2 (1956), 203–206 ; Yennie D. R., Frautschi S. C., Suura H., Ann. of Phys., 13:3 (1961), 379–452 | Zbl | DOI

[15] Eichten E. J., Feinberg F. L., Phys. Rev., D10:10 (1974), 3254–3279

[16] Paccanoni F., Nuovo Cim., 88A:4 (1985), 427–436 | DOI

[17] Arbuzov B. A., Kurennoi S. S., YaF, 36:5 (11) (1982), 1314–1318

[18] Fradkin E. S., ZhETF, 29:2 (8) (1955), 258–261 ; Takahashi Y., Nuovo Cim., 6:2 (1957), 371–375 | MR | Zbl | DOI | MR | Zbl

[19] 't Hooft G., Veltman M., Nucl. Phys., B44:1 (1972), 189–213 | DOI

[20] Leibbrandt G., Rev. Mod. Phys., 47:4 (1975), 849–876 | DOI | MR

[21] Arbuzov B. A., DAN SSSR, 128:6 (1959), 1149–1152 | Zbl

[22] Arbuzov B. A., Filippov A. T., Nuovo Cim., 38:2 (1965), 796–806 | DOI | MR

[23] Kulikov A. V., Nekrasov M. L., Rochev V. E., Ob odnom priblizhenii KKhD pri bolshikh $N$, Preprint IFVE 84-201, IFVE, Serpukhov, 1984

[24] Arbuzov B. A., Boos E. E., Turashvili K. Sh., Approach to Calculation of the Infrared Region Contribution to Vacuum Expectation Values of Gluonic and Quark Fields, Preprint IHEP 85-117, IHEP, Serpukhov, 1985