Abstract
A method of classifying quark operators in QCD sum rules is suggested. The expansion coefficients of all thed≦8 bilinear quark condensates in gluon condensates are calculated. The coefficient functions at the gluon operators withd≦8 in the polarization operator ∏(q 2) of the light-quark vector current are obtained. A comparison is performed with the calculations in the covariantly constant fields and self-dual fields. The results obtained can be used in the sum rules for the ρ, ω and ϕ families.
Similar content being viewed by others
References
A.G. Grozin, Yu.F. Pinelis: Phys. Lett.166B, 429 (1986)
M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: Nucl. Phys.B147, 395, 448 (1979)
S.N. Nikolaev, A.V. Radyushkin: Yad. Fiz.39, 147 (1984)
S.C. Generalis, D.J. Broadhurst: Phys. Lett.139B, 85 (1984)
V.A. Fock: Soviet. Phys.12, 404 (1937)
J. Schwinger: Particles, sources and fields. New York: Addison, Wesley 1973
A.G. Grozin: Proceedings of the 3th Conference on Dialogue Man-Computer, p. 205 Serpukhov, 1984; Preprint IYaF 83-117 (Novosibirsk, 1983)
A.I. Vainshtein et al.: Usp. Fiz. Nauk136, 553 (1982); Yad. Fiz.39, 124 (1984)
A.I. Mil'shtein, Yu.F. Pinelis: Z. Phys. C-Particles and Fields27, 461 (1985)
V.A. Novikov et al.: Proc. Conf. Neutrino-78 (La Fayette, 1978)
A.R. Zhitnizsky: Preprint IYaF 84-101 (Novosibirsk (1984))
A.G. Grozin, Yu.F. Pinelis: Preprint INP 86-65 (NOvosibirsk (1986))
M.S. Dubovikov, A.V. Smilga: Nucl. Phys.B185, 109 (1981)
A.I. Mil'shtein, Yu.F. Pinelis: Phys. Lett.137B, 235 (1984)
A.I. Mil'shtein, Yu.F. Pinelis: Report on the Conference on the QCD vacuum and hadron structure, Tashkent, April (1985)
J. Schwinger: Phys. Rev.82, 664 (1951)
S.I. Eidelman, L.M. Kurdadze, A.I. Vainshtein: Phys. Lett.82B, 278 (1979)
D.J. Broadhurst, S.C. Generalis: Phys. Lett.165B, 175 (1985)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grozin, A.G., Pinelis, Y.F. Contribution of higher gluon condensates to light-quark vacuum polarization. Z. Phys. C - Particles and Fields 33, 419–425 (1987). https://doi.org/10.1007/BF01552548
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01552548