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arXiv 1104.5577hep-ph
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核子QCD求和规则的贝叶斯分析

A Bayesian analysis of the nucleon QCD sum rules

Keisuke Ohtani, Philipp Gubler, Makoto Oka

摘要:

用最大熵方法重新分析了核子通道的QCD求和规则。这种新的方法,基于贝叶斯概率论,不限制谱函数通常的“极点+连续”的形式,允许更灵活的调查核子谱函数。利用这种灵活性,我们可以研究各种插值场的谱函数,发现核子基态主要耦合到一个包含标量双夸克的算符。此外,我们制定了核子通道的高斯求和规则,并发现它更适合于MEM分析,以提取核子极点在其实验值的区域,而Borel求和规则没有包含足够的信息,以清楚地分离核子极点的连续。

英文摘要:

QCD sum rules of the nucleon channel are reanalyzed, using the maximum entropy method (MEM). This new approach, based on the Bayesian probability theory, does not restrict the spectral function to the usual "pole + continuum"-form, allowing a more flexible investigation of the nucleon spectral function. Making use of this flexibility, we are able to investigate the spectral functions of various interpolating fields, finding that the nucleon ground state mainly couples to an operator containing a scalar diquark. Moreover, we formulate the Gaussian sum rule for the nucleon channel and find that it is more suitable for the MEM analysis to extract the nucleon pole in the region of its experimental value, while the Borel sum rule does not contain enough information to clearly separate the nucleon pole from the continuum.

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