F8: Algebraic Spectroscopy of Frequency Space Correlation Functions

28 Jul 2021, 15:00
1h
Poster Hadron Spectroscopy and Interactions Poster

Speaker

Sebastian Tsai (Yale University)

Description

Lattice Field Theory correlation functions are usually difficult to model in momentum space. As a result, fitting to a sum of poles in frequency space can be preferable especially when the signal contains an additive constant as this constant is isolated in the zero-frequency mode. To help model the spectroscopy in frequency space, we implemented a black-box method that we call rational approximation, in which we parameterize the function into an over-constrained matrix equation and represent it as a sum of a finite number of poles parametrized by pole energies and their corresponding residues. Using linear least squares, chi-square tests, and information criteria to find optimal fits, we present results for example correlation function data.

Primary authors

Sebastian Tsai (Yale University) Kimmy Cushman (Yale University) George Fleming (Yale University)

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