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High Energy Physics - Lattice

arXiv:2501.16527 (hep-lat)
[Submitted on 27 Jan 2025 ]

Title: Spectral densities from Euclidean-time lattice correlation functions

Title: 欧几里得时间格点关联函数的谱密度

Authors:Matteo Saccardi, Mattia Bruno, Leonardo Giusti
Abstract: 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.
Abstract: 在量子场论中,谱密度直接与相关的物理可观测量有关。 在格点QCD中,从第一性原理非微扰地提取它们需要欧几里得时间关联函数的逆拉普拉斯变换,这是一个臭名昭著的不适定问题。 在这里,我们回顾了我们最近提出的[1,2]一种新策略,以在连续体和格点上进行这种反演,同样适用于平滑的谱密度,在连续体和离散情况下都适用。
Comments: 10 pages, 4 figures, contribution to the 41st International Symposium on Lattice Field Theory (Lattice 2024), 28 July - 3 August 2024, Liverpool, UK
Subjects: High Energy Physics - Lattice (hep-lat)
Cite as: arXiv:2501.16527 [hep-lat]
  (or arXiv:2501.16527v1 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.2501.16527
arXiv-issued DOI via DataCite

Submission history

From: Matteo Saccardi [view email]
[v1] Mon, 27 Jan 2025 21:54:36 UTC (481 KB)
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