1996/05/31 by Rajan Gupta, Tanmoy Bhattacharya · 5 citations
Mathematics · Physics and Astronomy · #Chiral perturbation theory #Extrapolation #Fermion #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Quenched approximation #Statistics #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.55.7203
published as Phys.Rev.D55:7203-7217,1997 · 32 pages. Package submitted in uufiles format: unpack and tex paper.tex. Modified "axis" source for figures also included. Latex2e document. Uncomment hyperref if available. This is the final published version
openalex publication_date 1997/06/01 · arxiv created 1997/07/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present estimates of the masses of light quarks using lattice data. Our main results are based on a global analysis of all the published data for Wilson, Sheikholeslami-Wohlert (clover), and staggered fermions, both in the quenched approximation and with nf=2 dynamical flavors. We find that the values of masses with the various formulations agree after extrapolation to the continuum limit for the nf=0 theory. Our best estimates, in the MS scheme at \ensuremathμ=2GeV, are m=3.4\ifmmode±\else\textpm\fi0.4\ifmmode±\else\textpm\fi0.3MeV and ms=100\ifmmode±\else\textpm\fi21\ifmmode±\else\textpm\fi10MeV in the quenched approximation. The nf=2 results, m=2.7\ifmmode±\else\textpm\fi0.3\ifmmode±\else\textpm\fi0.3MeV and ms=68\ifmmode±\else\textpm\fi12\ifmmode±\else\textpm\fi7MeV, are preliminary. (A linear extrapolation in nf would further reduce these estimates for the physical case of three dynamical flavors.) These estimates are smaller than phenomenological estimates based on sum rules, but maintain the ratios predicted by chiral perturbation theory. The new results have a significant impact on the extraction of \ensuremathε^\ensuremath'/\ensuremathε from the standard model. Using the same lattice data we estimate the quark condensate using the Gell-Mann--Oakes--Renner relation. Again the three formulations give consistent results after extrapolation to a=0, and the value turns out to be correspondingly larger, roughly preserving ms〈\ensuremathψ\ensuremathψ〉.