Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-11-26
Phys.Rev.D79:094508,2009
Physics
High Energy Physics
High Energy Physics - Lattice
42 pages, 10 figures. Version accepted in PRD. Added comments and references, provided per diagram numerical values; final res
Scientific paper
10.1103/PhysRevD.79.094508
We compute the two-loop renormalization functions, in the RI' scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma$ corresponds to the Vector, Axial-Vector and Tensor Dirac operators, in the lattice formulation of QCD. We consider both the flavor nonsinglet and singlet operators. We use the clover action for fermions and the Wilson action for gluons. Our results are given as a polynomial in $c_{SW}$, in terms of both the renormalized and bare coupling constant, in the renormalized Feynman gauge. Finally, we present our results in the MSbar scheme, for easier comparison with calculations in the continuum. The corresponding results, for fermions in an arbitrary representation, together with some special features of superficially divergent integrals, are included in the Appendices.
Panagopoulos Haralambos
Skouroupathis Apostolos
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