2017/08/17 by T. J. Hobbs · 2 citations
Physics and Astronomy · #Lattice (music) #Mathematical physics #Meson #Momentum (technical analysis) #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Rare-earth and actinide compounds #Valence (chemistry) #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.97.054028
published as Phys. Rev. D 97, 054028 (2018) · 10 pages, 4 two-panel figures
arxiv created 2017/08/17 · openalex created_date 2017/08/31 · openalex publication_date 2018/03/23 · arxiv updated 2018/03/28 · openalex updated_date 2026/08/05
The recently proposed large momentum effective theory (LaMET) of Ji [1] has led to a burst of activity among lattice practitioners to perform and control the first pioneering calculations of the quasi-PDFs of the nucleon. These calculations represent approximations to the standard, exact PDFs defined as correlation functions of fields with lightlike separation, being instead correlations along a longitudinal direction of the operator \ensuremathγz; as such, they differ from standard PDFs by a perturbative matching condition with power-suppressed 1/pz2 corrections, becoming exact in the limit pz\ensuremath→\ensuremath∞. Investigating the systematics of this behavior thus becomes crucial to understanding the validity of LaMET calculations. While this has been done using models for the nucleon, an analogous dedicated study has not been carried out for the \ensuremathπ and \ensuremathρ valence quark distribution functions. Using a constituent quark model, a systematic calculation is performed to estimate the size and x dependence of the finite-pz effects in these quasi-PDFs, finding them to be potentially tamer for lighter mesons than for the collinear quasi-PDFs of the nucleon.