Non-perturbative quark mass renormalization in quenched lattice QCD

1998/10/31 by Stefano Capitani, Martin Lüscher, Rainer Sommer +1 · 15 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Invariant mass #Lattice (music) #Lattice QCD #Lattice field theory #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Renormalization #Renormalization group #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1016/s0550-3213(98)00857-8

published as Nucl.Phys. B544 (1999) 669-698 · 36 pages, 8 postscript figures, LaTeX, typo corrected in Table 3

openalex publication_date 1999/04/01 · arxiv created 2000/02/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The renormalization factor relating the bare to the renormalization group invariant quark masses is accurately calculated in quenched lattice QCD using a recursive finite-size technique. The result is presented in the form of a product of a universal factor times another factor, which depends on the details of the lattice theory but is easy to compute, since it does not involve any large scale differences. As a byproduct the Lambda-parameter of the theory is obtained with a total error of 8%.

Citations

• Light quark masses in QCD
• Light quark masses with dynamical Wilson fermions
• Chiral perturbation theory to one loop
• On the QCD sum rule determination of the strange quark mass
• Scaling of nonperturbativelyO(a)<mml:mn/>-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants
• The strange quark mass from QCD sum rules
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Direct extraction of the chiral quark condensate and bounds on the light quark masses
• Light quark masses from lattice QCD
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Non-perturbatively improved quenched hadron spectroscopy
• Order-αs3 determination of the strange quark mass
• Quark masses

Cited by

• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme
• O.P.E. and Power Corrections to the QCD coupling constant
• A perturbative study of two four-quark operators in finite volume renormalization schemes
• Quark mass anomalous dimension and Λ MS ¯ \varLambda_MS from the twisted mass Dirac operator spectrum
• B from quenched overlap QCD
• Memory efficient finite volume schemes with twisted boundary conditions
• Quenched results for light quark physics with overlap fermions
• Schrödinger functional formalism with domain-wall fermion
• Scaling investigation of renormalized correlation functions in O(a) improved quenched lattice QCD
• Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions
• The running coupling of QCD with four flavors
• Determining the conformal window: SU(2) gauge theory with N f = 4, 6 and 10 fermion flavours
• Determining fundamental parameters of QCD on the lattice
• Non-perturbative renormalization of quark mass in N f = 2 + 1 QCD with the Schrödinger functional scheme
• Chiral Symmetry Breaking in QCD with Two Light Flavors
• Determination of the charm quark mass in lattice QCD with 2 + 1 flavours on fine lattices