Remarks about weighted energy integrals over Minkowski spectral functions from Euclidean lattice data

Abstract

I make some simple observations about the calculation of weighted averages over energy of Minkowski space spectral densities from weighted averages over time of Euclidean space correlation functions, measured in latice simulations. The correlator of two vector currents is used as an example, where it appears that a determination of a weighted average of the spectral function near the rho pole at the five per cent level is possible from lattice simulations.

10 pages, 6 figures

References in corpus (4)

• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• On the extraction of spectral densities from lattice correlators
• Inclusive semi-leptonic decays from lattice QCD
• Towards fully non-perturbative computation of inelastic $\ell N$ scattering cross sections from lattice QCD

Cited by in corpus (4)

• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• Spectral-weight sum rules for the hadronic vacuum polarization