Non-perturbative determination of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action

Abstract

We report results of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action, employing the Reguralization Independent scheme (RI) of Martinelli et al. to non-perturbatively evaluate the renormalization factor relating the bare quark mass on the lattice to that in the continuum. Calculations are carried out at β=6.0, 6.2, and 6.4, from which we find $m_{ud}^{\overline{MS}}(2GeV)=4.23(29)MeV$ for the average up and down quark mass and, with the $\varphi$ meson mass as input, $m_s^{\overline{MS}}(2GeV)=129(12)MeV$ for the strange mass in the continuum limit. These values are about 20% larger than those obtained with the one-loop perturbative renormalization factor.

arXiv commentLaTeX, 11 pages, 4 eps figures, uses revtex and epsf

References in corpus (11)

• The four-loop beta-function in Quantum Chromodynamics
• On the Viability of Lattice Perturbation Theory
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• Quark Mass Anomalous Dimension to alpha_s**4
• Quark Mass Renormalization in the $\MSbar$ and RI schemes up to the NNLO order
• Perturbative Corrections for Staggered Fermion Bilinears
• Non-perturbatively Renormalized Light-Quark Masses with the Alpha Action
• Staggered fermion matrix elements using smeared operators
• Perturbative renormalization factors for bilinear and four-quark operators for Kogut-Susskind fermions on the lattice
• Topics in Light Hadron Mass Spectrum in Quenched QCD

Cited by in corpus (50)

• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Lattice QCD at the physical point: Simulation and analysis details
• Covariant nucleon electromagnetic form factors from the Goldstone-boson-exchange quark model
• Precision computation of the strange quark's mass in quenched QCD
• Lattice quark propagator with staggered quarks in Landau and Laplacian gauges
• Parity doublets and chiral symmetry restoration in baryon spectrum
• Kaon B parameter from quenched domain-wall QCD
• Quark propagator in the Landau gauge
• Modelling the quark propagator
• Light Quark Masses with Overlap Fermions in Quenched QCD
• The Strange Quark Mass From Flavor Breaking in Hadronic Tau Decays
• Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
• Dynamical Quark Effects on Light Quark Masses
• Recent results from lattice calculations
• Light Quark Masses from Lattice Quark Propagators at Large Momenta
• Origins of the baryon spectrum
• Covariant axial form factor of the nucleon in a chiral constituent quark model
• Determination of Light and Strange Quark Masses from Full Lattice QCD
• Quark Masses on the Lattice: Light and Heavy
• On the longitudinal contributions to hadronic tau decay
• Chiral Effective Lagrangian and Quark Masses
• An estimate of the chiral condensate from unquenched lattice QCD
• Calculation of the strange quark mass using domain wall fermions
• Testing m(up)=0 on the Lattice
• Vector mesons in a relativistic point-form approach
• An exploratory lattice study of DI=3/2 K -> pi pi decays at next-to-leading order in the chiral expansion
• Non-perturbative Renormalization in Lattice Field Theory
• Pion decay constant for the Kogut-Susskind quark action in quenched lattice QCD
• Non-perturbative Renormalization for Improved Staggered Bilinears
• The FLIC Overlap Quark Propagator
• Remarks on the Gauge Dependence of the RI/MOM Renormalization Procedure
• Testing improved staggered fermions with $m_s$ and $B_K$
• Large pion pole in Z_{S}^{MOM}/Z_{P}^{MOM} from Wilson action data
• Extended Goldstone-Boson-Exchange Constituent Quark Model
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD
• Relevant gluonic energy scale of spontaneous chiral symmetry breaking from lattice QCD
• The chiral and angular momentum content of the rho-meson
• Quark pseudoscalar vertex and quark mass function with clover fermions : spontaneous symmetry breaking, OPE, symmetry restoration at small volume
• Light Hadron Weak Matrix Elements
• Spin force dependence of the parton distributions: the ratio $F_2^n(x,Q^2)/F_2^p(x,Q^2)$
• Quark propagator from an improved staggered action in Laplacian and Landau gauges
• Theoretical status of epsilon'/epsilon
• Non-perturbative calculation of $Z_V$ and $Z_A$ in domain-wall QCD on a finite box
• Penguins diagrams in Delta I=1/2 rule and ε'/εwith σmodels
• Numerical Exploration of the RI/MOM Scheme Gauge Dependence
• Strangeness in Lattice QCD
• Baryon Structure and the Chiral Symmetry of QCD
• Light quark masses from the lattice
• Pion decay constant in quenched QCD with Kogut-Susskind quarks