Non-perturbative renormalization of quark mass in N f = 2 + 1 QCD with the Schrödinger functional scheme

2010/06/10 by S. Aoki, Sinya Aoki, Ken-Ichi Ishikawa +16
Physics and Astronomy · #High-Energy Particle Collisions Research #Mathematical physics #Non-perturbative #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #Renormalization #Scheme (mathematics) #hep-lat

paper · pdf · doi:10.1007/jhep08(2010)101

published as JHEP 1008:101,2010 · 26 pages, 17 Postscript figures. Two tables are updated

arxiv created 2010/06/10 · openalex publication_date 2010/08/01 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present an evaluation of the quark mass renormalization factor for Nf=2+1 QCD. The Schroedinger functional scheme is employed as the intermediate scheme to carry out non-perturbative running from the low energy region, where renormalization of bare mass is performed on the lattice, to deep in the high energy perturbative region, where the conversion to the renormalization group invariant mass or the MS-bar scheme is safely carried out. For numerical simulations we adopted the Iwasaki gauge action and non-perturbatively improved Wilson fermion action with the clover term. Seven renormalization scales are used to cover from low to high energy regions and three lattice spacings to take the continuum limit at each scale. The regularization independent step scaling function of the quark mass for the Nf=2+1 QCD is obtained in the continuum limit. Renormalization factors for the pseudo scalar density and the axial vector current are also evaluated for the same action and the bare couplings as two recent large scale Nf=2+1 simulations; previous work of the CP-PACS/JLQCD collaboration, which covered the up-down quark mass range heavier than m_π∼ 500 MeV and that of PACS-CS collaboration for much lighter quark masses down to m_π=155 MeV. The quark mass renormalization factor is used to renormalize bare PCAC masses in these simulations.

Citations

• Precise determination of the strong coupling constant inNf= 2+1 lattice QCD with the Schrödinger functional scheme
• Perturbative determination ofO<mml:mn/>(a)<mml:mn/>boundary improvement coefficients for the Schrödinger functional coupling at 1 loop with improved gauge actions
• The running coupling of QCD with four flavors
• Non-perturbative quark mass renormalization in two-flavor QCD
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• The running quark mass in the SF scheme and its two-loop anomalous dimension
• Non-perturbative quark mass renormalization in quenched lattice QCD
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories