Application of Laplace filters to the analysis of lattice time correlators
The analysis of lattice simulation correlation-function data is notoriously hindered by the ill-conditioning of the Euclidean-time covariance matrix. Additionally, the isolation of a single physical state in such functions is generally affected by systematic contamination from unwanted states. In this talk, I present a new methodology based on regulated Laplace filters and demonstrate that it can address both issues using state-of-the-art simulation data. We additionally show that the response of a correlation function to Laplace filters can be used to constrain its spectral content and has the potential to form the basis of new methods to extract physical information from lattice data.
