Borel离散和规则中有效连续统的公正看待
Unprejudiced Look at Effective Continuum Thresholds in Borel Dispersive Sum Rules
摘要：
色散和规则构成了从QCD中提取强子特征的长期工具。我们估计系统的不确定性所引起的假设夸克强子的对偶性和提高有效的阈值参与这种近似从常数到动量的函数和参数进入波莱尔变换后，提高预测的准确性。我们提出的求和规则修改QCD的适用性的严格审查给了我们很大的信心，我们的求和规则修改将被证明是富有成效的强子现象学。
英文摘要：
Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by elevating the effective thresholds involved in this approximation from constants to functions of momenta and a parameter entering upon Borel transformation. A rigorous scrutiny of the applicability of our proposed sum-rule modifications to QCD gives us great confidence that our sum-rule alterations will prove to be fruitful for hadron phenomenology.
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