Infrared asymptotics of gluon Green's functions in covariant gauge
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 2, pp. 163-170
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is considered whether the singular infrared behavior $D(k)\sim M^2/k^4$ of the gluon propagator and thecorresponding asymptotic behavior of the gluon vertices are compatible with the Schwinger–Dyson equation in a covariantgauge. For the investigated asymptotic behaviors, the two-loop terms most singular in the infrared region are calculated. It is shown that there exists a distinguished covariant gauge in which one can find a self-consistent description of the lowest gluon and ghost Green's functions in the infrared region of QCD.
@article{TMF_1988_74_2_a0,
     author = {B. A. Arbuzov and E. E. Boos and A. I. Davydychev},
     title = {Infrared asymptotics of~gluon {Green's} functions in~covariant gauge},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--170},
     year = {1988},
     volume = {74},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a0/}
}
TY  - JOUR
AU  - B. A. Arbuzov
AU  - E. E. Boos
AU  - A. I. Davydychev
TI  - Infrared asymptotics of gluon Green's functions in covariant gauge
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 163
EP  - 170
VL  - 74
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a0/
LA  - ru
ID  - TMF_1988_74_2_a0
ER  - 
%0 Journal Article
%A B. A. Arbuzov
%A E. E. Boos
%A A. I. Davydychev
%T Infrared asymptotics of gluon Green's functions in covariant gauge
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 163-170
%V 74
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a0/
%G ru
%F TMF_1988_74_2_a0
B. A. Arbuzov; E. E. Boos; A. I. Davydychev. Infrared asymptotics of gluon Green's functions in covariant gauge. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 2, pp. 163-170. http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a0/

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

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

[3] Barkai D., Moriarty K. J. M., Rebbi C., Phys. Rev., D30:10 (1984), 2201–2211

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

[5] Arbuzov B. A., Phys. Lett., 125B:6 (1983), 497–500 | DOI

[6] Arbuzov B. A., Boos E. E., Kurennoi S. S., Turashvili K. Sh., YaF, 40:3(9) (1984), 836–845 | MR

[7] Bykov A. A., Dremin I. M., Leonidov A. V., UFN, 143:1 (1984), 3–32 | DOI

[8] Natroshvili K. R., Khelashvili A. A., Khmaladze V. Yu., TMF, 65:3 (1985), 360–367 | MR

[9] Alekseev A. I., Edneral V. F., Tenzornaya struktura polyarizatsionnogo operatora glyuona v aksialnoi kalibrovke v infrakrasnoi oblasti, Preprint IFVE 86-46, IFVE, Serpukhov, 1986

[10] Müller V. F., Rühl W., Ann. Phys. (N. Y.), 133:2 (1981), 240–285 ; Caracciolo S., Curci G., Menotti P., Phys. Lett., 113B:4 (1982), 311–314 | DOI | MR | DOI

[11] Marchiano W., Pagels H., Phys. Rep., 36C:3 (1978), 137–276 | DOI

[12] Alekseev A. I., Arbuzov B. A., Baikov V. A., YaF, 34:5(11) (1981), 1374–1383; Алексеев А. И., Байков В. А., Боос Э. Э., ТМФ, 54:3 (1983), 388–397

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

[14] Fok V. A., Izv. AN SSSR, OMEN, ser. fiz., 1937, no. 4–5, 551–568; Работы по квантовой теории поля, ЛГУ, Л., 1957, С. 141–158.; Schwinger J., Phys. Rev., 82:5 (1951), 664–679 | DOI | MR | Zbl

[15] Kim S. K., Baker M., Nucl. Phys., B164:1 (1980), 152–170 ; Алексеев А. И., ЯФ, 33:2 (1981), 516–525 | DOI | MR

[16] Slavnov A. A., TMF, 10:2 (1972), 153–161 ; Taylor J. C., Nucl. Phys., B33:3 (1971), 436–444 | DOI | MR

[17] Hearn A. T., REDUCE-2 user's manual, Salt Lake Sity, 1974; Еднерал В. Ф., Крюков А. П., Родионов А. Я., Язык аналитических вычислений REDUCE, ч. I, МГУ, М., 1983

[18] Chetyrkin K. G., Kataev A. L., Tkachov F. V., Nucl. Phys., B174:2–3 (1980), 345–377 | DOI | MR