FLAVOR-SINGLET g_A FROM LATTICE QCD

Abstract

We report on a lattice QCD calculation of the flavor-singlet axial coupling constant $g_A$ of the proton from the axial-vector current. The simulation is carried out at $\beta =6$ on a quenched $16^3\times 24$ lattice. An extrapolation to the chiral limit shows that the connected insertion (valence and cloud parts) is $0.62\pm 0.09$, which is close to $g_A^8$. The disconnected insertion (vacuum polarization from the sea quark) for the $u$ or $d$ quark is $-0.12\pm 0.01$ and the $s$ quark also contributes $-0.12\pm 0.01$. The total $g_A^1$ is thus $0.25\pm 0.12$ which is in agreement with experiments. In addition, we find $g_A^3=1.20\pm 0.11$, $g_A^8=0.61\pm 0.13$ and $F_A/D_A=0.60\pm 0.02$, also in agreement with experiments.

8 pages, latex, 7 figures in uuencoded postscript file, minor typo changes.

References in corpus (10)

• On the Viability of Lattice Perturbation Theory
• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Consistent Analysis of the Spin Content of the Nucleon
• Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
• Stochastic Estimation with $Z_2$ Noise
• Proton Spin Structure from Lattice QCD
• $\pi NN$ and Pseudoscalar Form Factors from Lattice QCD
• Chiral Limit of Nucleon Lattice Electromagnetic Form Factors
• Nucleon Axial Form Factor from Lattice QCD
• Matrix Elements of the Singlet Axial Current in the Proton

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