Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-09-23
Acta Phys.Polon.B28:2751-2764,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, Latex, 1 figure included using epsf. To appear in Proceedings of the XXXVII Cracow School of Theoretical Physics, Za
Scientific paper
We review the description of nucleon structure functions in the instanton vacuum. This includes the calculation of the twist-2 parton distributions at a low normalization point as well as higher-twist matrix elements. The instanton vacuum with its inherent small parameter, the packing fraction of the instanton medium, $\bar\rho / R$, provides a consistent picture of the non-perturbative gluon degrees of freedom at the scale $\bar\rho^{-1} \simeq 600 MeV$. The twist-2 quark and antiquark distributions are of order unity, while the twist-2 gluon distribution is of order $(\bar\rho / R)^4$. Twist-4 matrix elements determining power corrections to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules are found to be of order $(\bar\rho / R)^0$. We present numerical estimates for the parametrically large quantities.
Polyakov Maxim V.
Weiss Carsten
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