Notes on lattice observables for parton distributions: nongauge theories

Understand

We review recent theoretical developments concerning the definition and the renormalization of equal-time correlators that can be computed on the lattice and related to Parton Distribution Functions (PDFs) through a factorization formula.

• We show how these objects can be studied and analyzed within the framework of a nongauge theory, gaining insight through a one-loop computation.
• We use scalar field theory as a playground to revise, analyze and present the main features of these ideas, to explore their potential, and to understand their limitations for extracting PDFs.
• We then propose a framework that would allow to include the available lattice QCD data in a global analysis to extract PDFs.