标题：O(\aplha_L^2) perturbative Green's functions of the fermion propagator, and of local and extended fermion bilinear operators, with Symanzik improved gluons and SLiNC fermions.
出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：In this work we compute the 1-loop 2-point perturbative bare Green’s functions of the fermion propagator and of local and extended fermion bilinear operators on the lattice. The calculation is carried out up to O(a2 L ), where aL is the lattice spacing. We employ the Symanzik improved gauge actions and Stout Link Clover (SLiNC) fermions. Our results have been obtained for various choices of values for the Symanzik coefficients, ci. The clover coefficient cSW, the gauge parameter a, the SLiNC parameter w, the Symanzik coefficients ci, the fermion masses mi and the number of colors N are kept as free parameters. The Wilson parameter, r, is set to 1. Knowledge of these Green’s functions allows us to determine renormalization functions for the quark field and each of the fermion bilinear operators.
