Notes on lattice observables for parton distributions: nongauge theories

• Main Authors: Luigi Del Debbio, Tommaso Giani, Christopher J. Monahan
• Format: Article
• Language: English
• Published: SpringerOpen 2020-09-01
• Series: Journal of High Energy Physics
• Subjects: Lattice field theory simulation; QCD Phenomenology
• Online Access: http://link.springer.com/article/10.1007/JHEP09(2020)021

Abstract 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.