Spectral densities from Euclidean-time lattice correlation functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912206895972352 |
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| author | Saccardi, Matteo Bruno, Mattia Giusti, Leonardo |
| author_facet | Saccardi, Matteo Bruno, Mattia Giusti, Leonardo |
| contents | In quantum field theories, spectral densities are directly related to relevant physical observables. In Lattice QCD, their non-perturbative extraction from first principles requires the Inverse Laplace transform of Euclidean-time correlation functions, a notorious ill-posed problem. Here we review our recent proposal [1,2] for a new strategy to perform this inversion both in the continuum and on the lattice, also suitable for smeared spectral densities, both in the continuum and in the discrete cases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_16527 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral densities from Euclidean-time lattice correlation functions Saccardi, Matteo Bruno, Mattia Giusti, Leonardo High Energy Physics - Lattice In quantum field theories, spectral densities are directly related to relevant physical observables. In Lattice QCD, their non-perturbative extraction from first principles requires the Inverse Laplace transform of Euclidean-time correlation functions, a notorious ill-posed problem. Here we review our recent proposal [1,2] for a new strategy to perform this inversion both in the continuum and on the lattice, also suitable for smeared spectral densities, both in the continuum and in the discrete cases. |
| title | Spectral densities from Euclidean-time lattice correlation functions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.16527 |