We propose a method to reconstruct smeared spectral functions from two-point correlation functions measured on the Euclidean lattice. Arbitrary smearing function can be considered as far as it is smooth enough to allow an approximation using Chebyshev polynomials. We test the method with numerical lattice data of Charmonium correlators. The method provides a framework to compare lattice calculation with experimental data including excited state contributions without assuming quark-hadron duality.

中文翻译：

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从欧几里德相关函数重建模糊谱函数

我们提出了一种从欧几里德晶格上测量的两点相关函数重建模糊谱函数的方法。可以考虑任意涂抹函数，只要它足够平滑以允许使用切比雪夫多项式进行近似。我们使用 Charmonium 相关器的数值点阵数据测试该方法。该方法提供了一个框架来将晶格计算与包括激发态贡献的实验数据进行比较，而无需假设夸克-强子对偶。