The one loop 3-point vertex functions of QCD in the maximal abelian gauge (MAG) are evaluated at the fully symmetric point at one loop. As a consequence the theory is renormalized in the various momentum (MOM) schemes which are defined by the trivalent vertices, as well as in the MS scheme. From these the two loop renormalization group functions in the MOM schemes are derived using the one loop conversion functions. In parallel we repeat the analysis for the Curci-Ferrari gauge which corresponds to the MAG in a specific limit. The relation between the Λ parameters in different schemes is also provided.LTH 985
We compute Green's functions with a bilinear quark operator inserted at
non-zero momentum for a generalized momentum configuration to two loops. These
are required to assist lattice gauge theory measurements of the same quantity
in matching to the high energy behaviour. The flavour non-singlet operators
considered are the scalar, vector and tensor currents as well as the second
moment of the twist-2 Wilson operator used in deep inelastic scattering for the
measurement of nucleon structure functions.Comment: 19 latex pages, 4 figures, anc directory contains electronic version
of amplitude
Abstract. The vertex structure of QCD fixed in the maximal Abelian gauge (MAG) and CurciFerrari gauge is analysed at two loops at the fully symmetric point for the 3-point functions corresponding to the three momentum subtraction (MOM) renormalization schemes. Consequently the three loop renormalization group functions are determined for each of these three schemes in each gauge using properties of the renormalization group equation.
LTH 10621 1 Introduction.
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