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

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arxiv 0911.0594 v1 pith:IHQT5ECZ submitted 2009-11-03 hep-ph hep-lat

K.G. Chetyrkin , A. Maier This is my paper · ORCID
classification hep-phhep-lat
keywords threeoperatorspropagatorsdimensionexpansiongaugeloopswilson
verification ladder T0 review T1 audit T2 compute T3 formal

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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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  1. Renormalising vector currents in lattice QCD using momentum-subtraction schemes

    hep-lat 2019-09 accept novelty 6.0 of 10

    Z_V for HISQ vector currents is exact and condensate-free in RI-SMOM and in a modified ratio scheme, but the standard RI'-MOM scheme has O(1%) condensate contamination.

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