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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A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.
Derives analytic integral-transform formulae to extract continuum and smeared spectral densities from Euclidean correlators, with O(a^2) lattice convergence and rigorous bounds for finite-volume effects.
SVD truncation of the exp(-ωt) kernel reconstructs smeared spectral functions from lattice correlators with controlled uncertainties and approaches the Mellin transform in the continuum limit.
Framework for exact and approximate kernel transformations between smeared spectral functions, including systematic error bounds computable from input data.
citing papers explorer
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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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Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles
A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.
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Spectral densities from Euclidean correlators via integral transforms: theoretical framework
Derives analytic integral-transform formulae to extract continuum and smeared spectral densities from Euclidean correlators, with O(a^2) lattice convergence and rigorous bounds for finite-volume effects.
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Spectral reconstruction from Euclidean lattice correlators through singular value decomposition
SVD truncation of the exp(-ωt) kernel reconstructs smeared spectral functions from lattice correlators with controlled uncertainties and approaches the Mellin transform in the continuum limit.
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Kernel transformations and bounds for smeared spectral functions
Framework for exact and approximate kernel transformations between smeared spectral functions, including systematic error bounds computable from input data.