Wilson Expansion of QCD Propagators at Three Loops: Operators of Dimension Two and Three

摘要

In this paper we construct the Wilson short distance operator productexpansion for the gluon, quark and ghost propagators in QCD, includingoperators of dimension two and three, namely, A^2, m^2, m A^2, \ovl{\psi} \psiand m^3. We compute analytically the coefficient functions of these operatorsat three loops for all three propagators in the general covariant gauge. Ourresults, taken in the Landau gauge, should help to improve the accuracy ofextracting the vacuum expectation values of these operators from latticesimulation of the QCD propagators.