Spectral reconstruction of Euclidean correlator moments in lattice QCD

Abstract

A novel application of lattice QCD spectral reconstruction is presented, in which euclidean correlation function data in a fixed time range are used to infer values outside the range, enabling a model-independent investigation of the asymptotic large-time behavior. Moments of the correlator are also determined, and reconstructed correlation matrices between different moments are included in a variational optimization similar to the standard Generalized Eigenvalue Problem (GEVP). These ideas are illustrated using a single-nucleon correlation function determined on an $N_{}=2+1$ ensemble of gauge configurations at $m_{\pi }=200\mathrm{MeV}$.

Comments: 5 pages, 3 figures, proceedings from the HADRON2023 conference