Jul 26 – 30, 2021
US/Eastern timezone

Variations on the Maiani-Testa approach and the inverse problem

Jul 27, 2021, 6:45 AM
15m
Oral presentation Hadron Spectroscopy and Interactions Hadron Spectroscopy and Interactions

Speaker

Mattia Bruno (CERN)

Description

In their seminal publication of 1990, Maiani and Testa showed that physical amplitudes away from threshold cannot be directly extracted (i.e. without analytically continuing or solving an inverse problem), from infinite-volume Euclidean correlators. As a result, in realistic lattice calculations, the limited knowledge of correlation functions on finite subsets of points allows only for the extraction of approximate smeared spectral densities (or else amplitudes via finite-volume energies). In this presentation we discuss the recent results obtained in arXiv:2012.11488, which extend the original work of Maiani and Testa and relate it to spectral reconstruction methods.

Primary authors

Mattia Bruno (CERN) Maxwell Hansen (The University of Edinburgh (GB))

Presentation materials