Geodesic
On the possibility of conformal infrared asymptotic behavior in non-Abelian Yang–Mills theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 323-334 
A. N. Vasil'ev; M. M. Perekalin; Yu. M. Pis'mak. On the possibility of conformal infrared asymptotic behavior in non-Abelian Yang–Mills theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 323-334. http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a0/
@article{TMF_1983_55_3_a0,
     author = {A. N. Vasil'ev and M. M. Perekalin and Yu. M. Pis'mak},
     title = {On the possibility of conformal infrared asymptotic behavior in {non-Abelian} {Yang{\textendash}Mills} theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--334},
     year = {1983},
     volume = {55},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a0/}
}
TY  - JOUR
AU  - A. N. Vasil'ev
AU  - M. M. Perekalin
AU  - Yu. M. Pis'mak
TI  - On the possibility of conformal infrared asymptotic behavior in non-Abelian Yang–Mills theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 323
EP  - 334
VL  - 55
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a0/
LA  - ru
ID  - TMF_1983_55_3_a0
ER  - 
%0 Journal Article
%A A. N. Vasil'ev
%A M. M. Perekalin
%A Yu. M. Pis'mak
%T On the possibility of conformal infrared asymptotic behavior in non-Abelian Yang–Mills theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 323-334
%V 55
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a0/
%G ru
%F TMF_1983_55_3_a0

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

The possibility of realization of a eonformally invariant infrared asymptotic behavior in non-Abelian Yang–Mills theory is discussed. It is shown in the framework of the coaformal bootstrap method that the assumption of exact conformal invariance contradicts transversality of the polarization operator, i.e. the Ward identities, but one can nevertheless attempt to use conformat theory as an approximate solution of the bootstrap self-coasisteacy equations.

[1] Mandelstam S., Phys. Rev., D20:12 (1979), 3223–3238 ; Baker M., Ball J. S., Zachariazen F., Nucl. Phys., B186 (1981), 531–559 ; 560–572; Алексеев А. И., Арбузов Б. А., Байков В. А., Инфракрасные асимптотики глюонных функций Грина в квантовой хромодинамике, Препринт ИФВЭ 81-106, ИФВЭ, Серпухов, 1981 | DOI

[2] Vasilev A. N., Pismak Yu. M., Khonkonen Yu. R., TMF, 50:2 (1982), 195–206

[3] Fradkin E. S., Palchik M. Ya., Phys. Rep., 44:5 (1978), 250–349 | DOI | MR

[4] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978, 238 pp. | MR

[5] Parisi G., Lett. Nuovo Cim., 4:15 (1972), 777–781 | DOI | MR

[6] Hikami S., Prog. Theor. Phys., 62:1 (1979), 226–233 | DOI

[7] Vasilev A. N., Pismak Yu. M., Khonkonen Yu. R., TMF, 48:3 (1981), 284–296