Reconstruction of smeared spectral functions from Euclidean correlation functions

Reconstruction of smeared spectral functions from Euclidean correlation functions
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DOI:
10.1093/ptep/ptaa044
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发表时间:
2020-01
影响因子:
3.5
通讯作者:
G. Bailas;S. Hashimoto;Tsutomu Ishikawa
G. Bailas;S. Hashimoto;Tsutomu Ishikawa
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
G. Bailas;S. Hashimoto;Tsutomu Ishikawa

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本文提出了一种从欧几里得晶格上测量的两点相关函数重建涂抹谱函数的方法。一个任意的涂抹函数可以被考虑,只要它足够光滑,允许使用切比雪夫多项式进行近似。用谐波相关器的数值点阵数据对该方法进行了验证。该方法提供了一个框架来比较晶格计算和实验数据,包括激发态贡献,而不假设夸克-强子对偶性。
We propose a method to reconstruct smeared spectral functions from two-point correlation functions measured on the Euclidean lattice. An arbitrary smearing function can be considered as long 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.