2023/09/10 by George Fleming, Fleming, George T. · 4 citations
Chemistry · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Molecular spectroscopy and chirality #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2309.05111
openalex publication_date 2023/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Two analysis techniques, the generalized eigenvalue method (GEM) or Prony's (or related) method (PM), are commonly used to analyze statistical estimates of correlation functions produced in lattice quantum field theory calculations. GEM takes full advantage of the matrix structure of correlation functions but only considers individual pairs of time separations when much more data exists. PM can be applied to many time separations and many individual matrix elements simultaneously but does not fully exploit the matrix structure of the correlation function. We combine both these methods into a single framework based on matrix polynomials. As these algebraic methods are well known for producing extensive spectral information about statistically-noisy data, the method should be paired with some information criteria, like the recently proposed Bayesean model averaging.