Abstract
We construct the quasi-parton distributions of mesons for two-dimensional QCD with either scalar or spinor quarks using the $1/N_c$ expansion. We show that in the infinite momentum limit, the parton distribution function is recovered in both leading and sub-leading order in $1/N_c$.
Highlights
Light-cone distribution amplitudes are central to the description of hard exclusive processes with large momentum transfer
Hard cross sections can be split into soft partonic distributions convoluted with perturbativly calculable processes
We construct the quasiparton distributions for both scalar and spinor QCD in leading and subleading order in 1=Nc and show that they merge with the expected light-cone distributions in the infinite momentum limit without additional renormalization
Summary
Light-cone distribution amplitudes are central to the description of hard exclusive processes with large momentum transfer. One of us [1] has suggested that the light-cone hadronic wave functions can be recovered from Euclidean correlators in hadronic states using instead quasiparton distribution functions through pertinent renormalization in the infinite momentum limit. In the deep inelastic regime, the results exhibit expected scaling laws, and are overall in support of the Feynman partonic picture and the light-cone expansion In this paper, these two models will be used interchangeably to test the concept of the quasidistributions in a. We construct the quasiparton distributions for both scalar and spinor QCD in leading and subleading order in 1=Nc and show that they merge with the expected light-cone distributions in the infinite momentum limit without additional renormalization. In the Appendix, we summarized some elements of twodimensional spinor QCD pertinent for our canonical analysis both in light-cone and axial gauge
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