Non-perturbative quark mass renormalization

Abstract

We show that the renormalization factor relating the renormalization group invariant quark masses to the bare quark masses computed in lattice QCD can be determined non-perturbatively. The calculation is based on an extension of a finite-size technique previously employed to compute the running coupling in quenched QCD. As a by-product we obtain the $\Lambda$--parameter in this theory with completely controlled errors.

Talk given at LATTICE '97, 6 pages, Latex source, 7 eps figures, needs epsfig

References in corpus (4)

• The four-loop beta-function in Quantum Chromodynamics
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• Quark Mass Anomalous Dimension to alpha_s**4
• Further results on O(a) improved lattice QCD to one-loop order of perturbation theory

Cited by in corpus (24)

• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Testing Landau gauge OPE on the Lattice with a $<A^2>$ Condensate
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• Two Loop Computation of the Schroedinger Functional in Lattice QCD
• Consistent OPE Description of Gluon Two- and Three-point Green Function?
• Improved staggered quark actions with reduced flavour symmetry violations for lattice QCD
• Higher representations on the lattice: perturbative studies
• Heavy quark masses in the continuum limit of quenched Lattice QCD
• Hadron masses and matrix elements from the QCD Schr"odinger functional
• Corrections to Finite-Size Scaling in the Lattice N-Vector Model for Infinite N
• Heavy--light decay constants in the continuum limit of quenched lattice QCD
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• Lattice quark masses: a non-perturbative measurement
• Non-perturbative Pion Matrix Element of a twist-2 operator from the Lattice
• Remarks on the determination of the Landau gauge OPE for the Asymmetric three gluon vertex
• Flavor Singlet Axial Vector Coupling of the Proton with Dynamical Wilson Fermions
• The Self-Energy of Massive Lattice Fermions
• Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors
• Non-perturbative running of the average momentum of non-singlet parton densities
• Recent results on light hadron and quark masses
• The running QCD coupling in the pre-asymptotic region
• Power Corrections to Perturbative QCD and OPE in Gluon Green Functions
• Scaling tests in $\Or(a)$--improved quenched lattice QCD
• Quark masses and the chiral condensate with a non-perturbative renormalization procedure