New Results From Lattice QCD: Non-Perturbative Renormalization and Quark Masses

Abstract

For the first time, we compute non-perturbatively, i.e. without lattice perturbation theory, the renormalization constants of two-fermion operators in the quenched approximation at $\beta =6.0$, 6.2 and 6.4 using the Wilson and the tree-level improved SW-Clover actions. We apply these renormalization constants to fully non-perturbatively estimate quark masses in the $\overline{MS}$ scheme from lattice simulations of both the hadron spectrum and the Axial Ward Identity in the quenched approximation. Some very preliminary unquenched Wilson results obtained from the gluon configurations generated by the T$\chi$L Collaboration at $\beta =5.6$ and $N_f=2$ are also discussed.

4 pages, 2 figures. Invited talk given at the QCD 98 Euroconference, Montpellier, France, 2-8 July 1998

References in corpus (2)

• A General Method for Non-Perturbative Renormalization of Lattice Operators
• A High Statistics Lattice Calculation of The B-meson Binding Energy

Cited by in corpus (3)

• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Implications for relic neutralinos of the theoretical uncertainties in the neutralino-nucleon cross-section
• Effects of Large CP Phases on the Proton Lifetime in Supersymmetric Unification