Geodesic
Coefficient functions of gluon and quark condensates in QCD~sum rules for light vector mesons in the two-loop approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 245-254

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We calculate and analyze the corrections of order $\alpha_s^2$ to the condensate coefficient functions $\langle G^2\rangle_0$ and $\langle m\bar qq\rangle_0$ in the operator product expansion of the vacuum correlation function of two flavor-diagonal vector currents of quarks in the $\overline{MS}$ scheme. We find that for the quark condensate the renormalization-invariant criterion of applicability of perturbation theory to the calculation of the coefficient functions is not satisfied, in particular, in the analysis of the $\varphi$ meson. 
@article{TMF_1988_75_2_a8,
     author = {L. R. Surguladze and F. V. Tkachev},
     title = {Coefficient functions of gluon and quark condensates in {QCD~sum} rules for light vector mesons in the two-loop approximation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {245--254},
     publisher = {mathdoc},
     volume = {75},
     number = {2},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a8/}
}
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L. R. Surguladze; F. V. Tkachev. Coefficient functions of gluon and quark condensates in QCD~sum rules for light vector mesons in the two-loop approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 245-254. http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a8/