We systematically investigated the inverse discrete Fourier transform of quasi-distributions from the perspective of inverse problem theory. Mathematically, we have demonstrated that this transformation satisfies two of Hadamard’s well-posedness criteria, existence and uniqueness of the solution, but critically violates the stability requirement. To address this instability, we employed and...
The gradient flow has emerged as a powerful tool to enhance the Large Momentum Effective Theory (LaMET) program, offering both conceptual and practical advantages in lattice QCD studies of hadronic structure. In this report, I present our recent progress in applying the gradient flow to baryon light-cone distribution amplitudes (LCDAs) and quasi-parton distribution functions (quasi-PDFs). For...
In this talk, we will present the exact expansions at the next-to-leading order in the $1/N$ expansion for a space-like structure function in the 2D large-N Gross-Neveu model, in the Bjorken and the threshold limits.
The space-like structure function is similar to the lattice-calculable quasi-PDFs. As such, the exact expansion in the Bjorken limit allows a non-trivial first principle...
