The 43rd International Symposium on Lattice Field Theory (Lattice 2026)

Systematic uncertainties in spectral reconstruction from lattice correlators

28 Jul 2026, 15:20

20m

Juan Ramon Jimenez (Adele H. Stamp Student Union)

Contributed talk Hadronic and nuclear spectrum and interactions Hadronic and nuclear spectrum and interactions

Speaker

Ryutaro Tsuji (KEK)

Description

Reconstructing spectral densities from lattice correlators requires an inverse Laplace transform, which is inherently ill-conditioned. Although there are many approaches to tackle this problem, systematic errors need to be carefully examined. In this talk, we propose a method with a singular value decomposition of the Laplace kernel, in which systematic error can be bounded under reasonable assumptions.

Presentation materials

lattice2026_rtsuji.pdf