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arXiv 0810.3432hep-lathep-ph
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晶格部分猝灭QCD的核子能谱分析

An analysis of the nucleon spectrum from lattice partially-quenched QCD

W. Armour, C. R. Allton, D. B. Leinweber, A. W. Thomas, R. D. Young

摘要:

本文利用2味部分猝灭格点模拟的数据研究了核子质量M_n的手征外推。使用领先的单循环校正对CP-PACS协作的大样本点阵结果进行分析,并对有限点阵间距伪影进行明确校正。外推研究使用有限范围正则手征微扰理论。分析还提供了一个定量估计的领先有限体积校正。发现离散化、有限体积效应和部分猝灭效应都能很好地描述在这个框架下,得到了与实验一致的外推M_n值。此外,核子质量手征膨胀低能常数的测定与以前的方法一致,但误差大大减少。这个过程也比较与外推的基础上多项式形式,结果是不太令人鼓舞的。

英文摘要:

The chiral extrapolation of the nucleon mass, M_n, is investigated using data coming from 2-flavour partially-quenched lattice simulations. A large sample of lattice results from the CP-PACS Collaboration is analysed using the leading one-loop corrections, with explicit corrections for finite lattice spacing artifacts. The extrapolation is studied using finite range regularised chiral perturbation theory. The analysis also provides a quantitative estimate of the leading finite volume corrections. It is found that the discretisation, finite-volume and partial quenching effects can all be very well described in this framework, producing an extrapolated value of M_n in agreement with experiment. Furthermore, determinations of the low energy constants of the nucleon mass's chiral expansion are in agreement with previous methods, but with significantly reduced errors. This procedure is also compared with extrapolations based on polynomial forms, where the results are less encouraging.

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