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arXiv 0801.4016hep-lathep-phnucl-th
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具有畴壁费米子的2+1味动力学格点量子色动力学中的核子轴荷

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

T. Yamazaki, Y. Aoki, T. Blum, H. W. Lin, M. F. Lin, S. Ohta, S. Sasaki, R. J. Tweedie, J. M. Zanotti

摘要:

在第五维长度为16的16^3x32和24^3x64格点(L=1.8和2.7 fm)上,利用2+1型畴壁费米子,给出了在1/a=1.73(3)GeV的固定格点间距下核子轴向电荷g_A的结果.在最轻m π处的蒙特卡罗轨道长度为7360个单位,其中包括热化的900个单位。我们发现在m_π= 330 MeV时,有限体积效应大于π质量效应.我们还发现g_A与单变量m_πL成标度关系,这在以前的双味畴壁和Wilson费米子计算中也能看到。利用这种标度来消除有限体积效应,在物理π质量m_π= 135 MeV时,我们得到g_A = 1.20(6)(4),其中第一和第二误差是统计的和系统的。所观察到的有限体积标度也出现在类似的猝灭模拟中,但当V \ge(2.4 fm)^[3]时消失。我们认为这是一种动力学夸克效应。

英文摘要:

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 24^3x64lattices (L=1.8 and 2.7 fm) with length 16 in the fifth dimension. The length of the Monte Carlo trajectory at the lightest m_πis 7360 units, including 900 for thermalization. We find finite volume effects are larger than the pion mass dependence at m_π= 330 MeV. We also find that g_A exhibits a scaling with the single variable m_πL which can also be seen in previous two-flavor domain wall and Wilson fermion calculati ons. Using this scaling to eliminate the finite-volume effect, we obtain g_A = 1.20(6)(4) at the physical pion mass, m_π= 135 MeV, where the first and second errors are statistical and systematic. The observed finite-volume scaling also appears in similar quenched simulations, but disappear when V\ge (2.4 fm)^3. We argue this is a dynamical quark effect.

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