Geodesic
Double logarithmic asymptotic behavior of vertex functions in quantum chromodynamics. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 147-156 
V. V. Belokurov; N. I. Usyukina. Double logarithmic asymptotic behavior of vertex functions in quantum chromodynamics. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 147-156. http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a0/
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     title = {Double logarithmic asymptotic behavior of~vertex functions in~quantum {chromodynamics.~I}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The method of calculating the double logarithmic asymptotics of vertex functions suggested by the authors in [5] is further developed. Now the method is applied to calculating the asymptotics of quantum chromodynamics perturbation theory diagrams of arbitrary order including at most one three-gluon vertex. Cancellation of terms proportional to the Kasimir operator $B$ is demonstrated in every order for the singlet formfactor of the quark.

[1] V. V. Sudakov, ZhETF, 30 (1956), 87 | MR | Zbl

[2] V. N. Popov, Kontinualnye integraly v kvantovoi teorii polya i statisticheskoi fizike, Atomizdat, 1976 | MR

[3] J. J. Carazzone et al., Phys. Rev., D13 (1975), 2286

[4] J. M. Cornwall, G. Tiktopoulos, Phys. Rev., D13 (1976), 3370

[5] V. V. Belokurov, N. I. Usyukina, TMF, 41 (1979), 157

[6] N. Nakanishi, Progr. Theor. Phys., 25 (1961), 296 | DOI

[7] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii, vyp. 1, Fizmatgiz, 1958 | MR