Non-perturbative renormalization constants and light quark masses

Abstract

We present the results of an extensive non-perturbative calculation of the renormalization constants of bilinear quark operators for the non-perturbatively O(a)-improved Wilson action. The results are obtained at four values of the lattice coupling, by using the RI/MOM and the Ward identities methods. A new non-perturbative renormalization technique, which is based on the study of the lattice correlation functions at short distance in x-space, is also numerically investigated. We then use our non-perturbative determination of the quark mass renormalization constants to compute the values of the strange and the average up/down quark masses. After performing an extrapolation to the continuum limit, we obtain ms^msbar(2 GeV) = (106 +- 2 +- 8) MeV and ml^msbar(2 GeV)=(4.4 +- 0.1 +- 0.4) MeV.

4 pages, Lattice2002(improve)

Cited by in corpus (5)

• Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action
• Non-perturbative renormalization of lattice operators in coordinate space
• Non-perturbative running of renormalization constants from correlators in coordinate space using step scaling