We discuss the physical nature of quasi-PDFs, especially the reasons for the strong nonperturbative evolution pattern which they reveal in actual lattice gauge calculations.
We argue that quasi-PDFs may be treated as hybrids of PDFs and the rest-frame momentum distributions of partons.
The latter is also responsible for the transverse momentum dependence of TMDs.
The resulting convolution structure of quasi-PDFs necessitates using large probing momenta $p_3 \gtrsim 3$ GeV to get reasonably close to the PDF limit.
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