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Euclidean Observables for Pdf determinations
Following the seminal work by Ji on quasi-PDF, there has been a momentous activity in lattice QCD to extract parton distribution functions (PDFs) from Monte Carlo data.
In this talk I will review the connection between observables that are computed in Euclidean space and the universal PDFs that are only defined in Minkovski space-time. The talk will focus on the case of a scalar field theory, where unnecessary technical complications can be avoided while the physical content can be highlighted. I will also discuss how to include lattice data in the global NNPDF fitting procedure and show some first results. If time permits I will comment more generally on a Bayesian approach to inverse problems.