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Sparse modeling approach to extract spectral functions with covariance of Euclidean-time correlators of lattice QCD

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arxiv 2311.15233 v1 pith:AR4W34OE submitted 2023-11-26 hep-lat

Sparse modeling approach to extract spectral functions with covariance of Euclidean-time correlators of lattice QCD

classification hep-lat
keywords functionsspectralcorrelationextractcovarianceeuclidean-timelatticemodeling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present our sparse modeling study to extract spectral functions from Euclidean-time correlation functions. In this study covariance between different Euclidean times of the correlation function is taken into account, which was not done in previous studies. In order to check applicability of the method, we firstly test it with mock data which imitate possible charmonium spectral functions. Then, we extract spectral functions from correlation functions obtained from lattice QCD at finite temperature.

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