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31 July 2023 to 4 August 2023
America/Chicago timezone

Use of Inverse Methods for Reconstructing the Hadronic Tensor from Euclidean Correlators

1 Aug 2023, 19:25
3m
Atrium (WH1)

Atrium

WH1

Poster Presentation Poster session

Speaker

Douglas Stewart (University of Connecticut)

Description

While Wick rotation to Euclidean spacetime is necessary for lattice QCD calculations, the subsequent rotation back to Minkowski spacetime from discrete correlator data is an ill-posed problem. In this proof-of-concept calculation, we compute correlation functions necessary for computing the hadronic tensor of the pion using existing ensembles generated by the MILC collaboration and $N_f=2+1+1$ dynamical HISQ-like fermions at the physical point. Using a modification of the Backus-Gilbert method developed by Hansen, Lupo, and Tantalo (HLT), we apply the HLT method to the Euclidean lattice correlators to extract smeared finite-volume spectral functions. Our future goal is to apply these techniques to more complicated systems such as the nucleon.

Topical area Hadronic and Nuclear Spectrum and Interactions

Primary author

Douglas Stewart (University of Connecticut)

Co-authors

Thomas Blum (University of Connecticut) William Jay (MIT) Luchang Jin (University of Connecticut) Andreas Kronfeld (Fermilab)

Presentation materials