QCDSF-UKQCD-CSSM collaboration Roger Horsley, Y. Nakamura, H. Perlt, P. Rakow, G. Schierholz, K. Somfleth, R. Young, J. Zanotti
{"title":"Structure functions from the Compton amplitude","authors":"QCDSF-UKQCD-CSSM collaboration Roger Horsley, Y. Nakamura, H. Perlt, P. Rakow, G. Schierholz, K. Somfleth, R. Young, J. Zanotti","doi":"10.22323/1.363.0137","DOIUrl":null,"url":null,"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.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.363.0137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
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.