Nucleon axial charge in 2+1 flavor dynamical lattice QCD with domain wall fermions

Journal Article · Tue Apr 01 00:00:00 EDT 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.100.171602· OSTI ID:955875

Yamazaki, Toshimitou; Aoki, Y; Blum, Thomas; Lin, Huey-Wen; Lin, Meifeng; Ohta, Shigemi; Sasaki, Shoichi; Tweedie, Robert; Zanotti, James

We present results for the nucleon axial charge g_A at a fixed lattice spacing of 1/a=1.73(3) GeV using 2+1 flavors of domain wall fermions on size 16^3x32 and 24^3x64 lattices (L=1.8 and 2.7 fm) with length 16 in the fifth dimension. The total length of the Monte Carlo trajectory at the lightest quark mass is 7360 units, including 900 for thermalization. We find finite volume effects are larger than the pion mass dependence at the smallest value of m_\pi (= 330 MeV) in our calculation. We also find that g_A exhibits a scaling with the single variable m_\pi L which can also be seen in previous two-flavor domain wall and Wilson fermion calculations. Using this scaling to eliminate the finite-volume effect, we obtain g_A = 1.20(6)(4) at the physical pion mass, m_\pi = 135 MeV, where the first and second errors are statistical and systematic. The observed finite-volume effects also appear in similar quenched simulations, but disappear when V>(2.4$ fm)^3. We argue this is a dynamical quark

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-060R23177
• OSTI ID: 955875
• Report Number(s): JLAB-THY-08-811; arXiv:0801.4016; DOE/OR/23177-0367; PRLTAO; TRN: US1004794
• Journal Information: Physical Review Letters, Vol. 100; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FERMIONS
NUCLEONS
PIONS
QUANTUM CHROMODYNAMICS
QUARKS
THERMALIZATION