The causal bootstrap computes rigorous bounds on smeared spectral functions from non-perturbative Euclidean data by optimizing over the convex set of compatible positive spectral densities and reducing dual problems to semidefinite programs for certain kernels.
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The authors extend Bergamaschi et al.'s Nevanlinna-Pick interpolation approach by studying error propagation in a simplified multiparticle spectral function example for applications to inclusive heavy-particle decays in lattice QCD.
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The Causal Bootstrap: Bounding Smeared Spectral Functions from Non-Perturbative Euclidean Data
The causal bootstrap computes rigorous bounds on smeared spectral functions from non-perturbative Euclidean data by optimizing over the convex set of compatible positive spectral densities and reducing dual problems to semidefinite programs for certain kernels.
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Nevanlinna-Pick interpolation from uncertain data
The authors extend Bergamaschi et al.'s Nevanlinna-Pick interpolation approach by studying error propagation in a simplified multiparticle spectral function example for applications to inclusive heavy-particle decays in lattice QCD.