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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

classification hep-lathep-ph
keywords functionslatticemethodcorrelationdataeuclideanfunctionsmeared
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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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Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    DeepONet ensembles trained on GP mock data reconstruct O(3) smeared spectral densities from lattice correlators with lower total uncertainty than HLT, consistent with the analytic result.

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  4. Long distance contributions to neutral $D$-meson mixing from lattice QCD

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  5. Toward extracting scattering phase shift from integrated correlation functions III: coupled-channels

    hep-lat 2024-12 conditional novelty 6.0 of 10

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    hep-lat 2025-01 conditional novelty 5.0 of 10

    A Tikhonov-regularized inverse Laplace transform built on the Mellin basis extracts spectral densities from Euclidean correlators, with an exact discrete-lattice version and controlled smearing kernels.

  7. Can Large Vision-Language Models Understand Multimodal Sarcasm?

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    Large vision-language models are reported to be weak at multimodal sarcasm, and a training-free knowledge-augmented framework is claimed to improve sarcasm detection and explanation.

  8. The NRQCD $\Upsilon$ spectrum at non-zero temperature using Backus-Gilbert regularisations

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  9. Real-time dynamics from convex geometry

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