Speaker
Dr
Apostolos Skouroupathis
(University of Cyprus, Department of Physics)
Description
We compute the two-loop renormalization functions, in the RI' scheme, of local bilinear quark operators (ψbar Γ ψ), where Γ 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 csw, in terms of both the renormalized and bare coupling constant, in the renormalized Feynman gauge.
Our results are also presented in the MSbar scheme, for easier comparison with calculations in the continuum, generalized to fermions in an arbitrary representation. Finally, we discuss some special features of superficially divergent lattice integrals at two loops.
Primary authors
Dr
Apostolos Skouroupathis
(University of Cyprus, Department of Physics)
Prof.
Haralambos Panagopoulos
(University of Cyprus, Department of Physics)