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

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

2009-11-03

arxiv.org/abs/0911.0594v1

JHEP 1001:092,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, no figures

Scientific paper

10.1007/JHEP01(2010)092

In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A^2, m^2, m A^2, \ovl{\psi} \psi and m^3. We compute analytically the coefficient functions of these operators at three loops for all three propagators in the general covariant gauge. Our results, taken in the Landau gauge, should help to improve the accuracy of extracting the vacuum expectation values of these operators from lattice simulation of the QCD propagators.

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