collaboration, QCDSF-UKQCD-CSSM, Horsley, Roger, Nakamura, Yoshifumi, Perlt, Holger, Rakow, Paul EL 
ORCID: 0000-0003-4486-2158, Schierholz, Gerrit, Somfleth, Kim, Young, Ross D and Zanotti, James M
(2020)
Structure functions from the Compton amplitude.
Proceedings of Science, 363.
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Text
2001.05366v1.pdf - Published version Download (172kB) | Preview |
Abstract
We have initiated a program to compute the Compton amplitude from lattice QCD with the Feynman-Hellman method. This amplitude is related to the structure function via a Fredholm integral equation of the first kind. It is known that these types of equations are inherently ill--posed - they are, e.g., extremely sensitive to perturbations of the system. We discuss two methods which are candidates to handle these problems: the model free inversion based on singular value decomposition and one Bayesian type approach. We apply the Bayesian method to currently available lattice data for the Compton amplitude.
| Item Type: | Article |
|---|---|
| Additional Information: | 7 pages, 5 figures, poster presented at the 37th International Symposium on Lattice Field Theory (Lattice 2019), 16-22 June 2019, Wuhan, China |
| Uncontrolled Keywords: | hep-lat, hep-lat |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 23 Jul 2020 08:03 |
| Last Modified: | 18 Jan 2023 23:39 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3094920 |
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