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Reconstruction of smeared spectral function from Euclidean correlation functions

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arxiv 2001.11779 v1 pith:S44D6EUP submitted 2020-01-31 hep-lat hep-ph

Reconstruction of smeared spectral function from Euclidean correlation functions

classification hep-lat hep-ph
keywords functionslatticemethodcorrelationdataeuclideanfunctionsmeared
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 14 Pith papers

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