Geodesic
Infrared asymptotic behavior of gluon Green's functions in quantum chromodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 187-198 
A. I. Alekseev; B. A. Arbuzov; V. A. Baikov. Infrared asymptotic behavior of gluon Green's functions in quantum chromodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 187-198. http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a2/
@article{TMF_1982_52_2_a2,
     author = {A. I. Alekseev and B. A. Arbuzov and V. A. Baikov},
     title = {Infrared asymptotic behavior of gluon {Green's} functions in quantum chromodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {187--198},
     year = {1982},
     volume = {52},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a2/}
}
TY  - JOUR
AU  - A. I. Alekseev
AU  - B. A. Arbuzov
AU  - V. A. Baikov
TI  - Infrared asymptotic behavior of gluon Green's functions in quantum chromodynamics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 187
EP  - 198
VL  - 52
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a2/
LA  - ru
ID  - TMF_1982_52_2_a2
ER  - 
%0 Journal Article
%A A. I. Alekseev
%A B. A. Arbuzov
%A V. A. Baikov
%T Infrared asymptotic behavior of gluon Green's functions in quantum chromodynamics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 187-198
%V 52
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a2/
%G ru
%F TMF_1982_52_2_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

The possibility that the gluon propagator could have the infrared asymptotic behavior $D(k)\sim 1/(k^{2})^{2}$, $k^{2}\to0$, in quantum chromodynamics is considered. It is shown by means of the Schwinger–Dyson equation in the axial gauge and the Ward–Slavnov identities that such behavior can indeed be realized if the three-gluon vertex function has a definite infrared asymptotic behavior independently of the value of the gauge parameter. This result makes it possible to obtain in the infrared region an effective gauge-invariant Lagrangian containing explicitly a constant with the dimensions of mass.

[1] Alekseev A. I., Arbuzov B. A., Baikov V. A., O vozmozhnosti dinamicheskogo vozniknoveniya massy fermiona v kvantovoi khromodinamike, Preprint 81-28, IFVE, Serpukhov, 1981

[2] Alekseev A. I., “Glyuonnyi propagator v aksialnoi kalibrovke”, YaF, 33:2 (1981), 516–526; Alekseev A. I., On power infrared asymptotics of gluoh propagator in axial gauge, Preprint 80-65, IHEP, Serpukhov, 1980

[3] Baker M., Acta Phys. Polon., B12:2 (1981), 119–141

[4] Baker M., Ball J. S., Zachariasen F., A non-perturbative calculation of the infrared limit of the axial gauge gluon propagator, I, Preprint CALT-68-807; A non-perturbative calculation of the infrared limit of the axial gauge gluon propagator, II, Preprint CALT-68-808, CALTEC, Pasadena, CA, 1981

[5] Kim S. K., Baker M., Nucl. Phys., B164:1 (1980), 152–170 | DOI | MR

[6] Humpert B., van Neerven W. L., Phys. Lett., B101:1, 2 (1981), 101–108 | DOI

[7] Marichev O. I., Metody vychisleniya integralov ot spetsialnykh funktsii, Nauka i tekhnika, Minsk, 1978 | MR

[8] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. I, Nauka, M., 1973 | MR