Understand
The recently proposed large momentum effective theory (LaMET) of Ji 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 PDFs defined as correlation functions of fields with lightlike separation, being instead correlations along a longitudinal direction of the operator $\gamma^z$; as such, they differ from standard PDFs by power-suppressed $1 \big/ p^2_z$ corrections, becoming exact in the limit $p_z \to \infty$.
- 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 $\pi$ and $\rho$ quark distribution functions.
Reading the bibliography…