Approaches to the Inverse Problem

Luigi Del Debbio; Alessandro Lupo; Marco Panero; Nazario Tantalo

doi:10.22323/1.451.0019

Approaches to the Inverse Problem

Luigi Del Debbio, Alessandro Lupo^*, Marco Panero, Nazario Tantalo

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to conference › Paper › peer-review

Abstract

The analytical continuation of correlation functions from imaginary to real time is a crucial step in lattice gauge theories, and it challenges our ability to derive non-perturbative predictions from lattice simulations. We review aspects of this ‘‘inverse problem’’, which has driven both theoretical and algorithmic advancements in recent years, opening new promising avenues for non-perturbative studies of the Standard Model and beyond. The focus of this proceeding will be on variations of Backus-Gilbert and Bayesian methods.

Original language	English
Pages	1-13
Number of pages	13
DOIs	https://doi.org/10.22323/1.451.0019
Publication status	Published - 13 Dec 2024
Event	2023 European Network for Particle Physics, Lattice Field Theory and Extreme Computing, EuroPLEx 2023 - Berlin, Germany Duration: 11 Sept 2023 → 15 Sept 2023

Conference

Conference	2023 European Network for Particle Physics, Lattice Field Theory and Extreme Computing, EuroPLEx 2023
Country/Territory	Germany
City	Berlin
Period	11/09/23 → 15/09/23

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10.22323/1.451.0019Licence: Creative Commons: Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

Cite this

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N2 - The analytical continuation of correlation functions from imaginary to real time is a crucial step in lattice gauge theories, and it challenges our ability to derive non-perturbative predictions from lattice simulations. We review aspects of this ‘‘inverse problem’’, which has driven both theoretical and algorithmic advancements in recent years, opening new promising avenues for non-perturbative studies of the Standard Model and beyond. The focus of this proceeding will be on variations of Backus-Gilbert and Bayesian methods.

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Approaches to the Inverse Problem

Abstract

Conference

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ExaTEPP: Theoretical and Experimental Particle Physics at the Exascale Frontier

Particle Theory at the Higgs Centre

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Approaches to the Inverse Problem

Abstract

Conference

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ExaTEPP: Theoretical and Experimental Particle Physics at the Exascale Frontier

Particle Theory at the Higgs Centre

Cite this