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Recently we have reported that the lattice QCD can not study the physicalhadron formation from the unphysical quarks and gluons because it operates theunphysical QCD Hamiltonian of all the partons inside the hadron on the physicalenergy eigenstate of the hadron to obtain the physical energy eigenvalue of thehadron. However, since the parton distribution function (PDF) inside the hadronis unphysical (although it is well defined in QCD), we find in this paper thatthe unphysical energy of all the partons inside the hadron (instead of thephysical energy of the hadron) can be used to study the PDF using the latticeQCD. Hence we find that the lattice QCD can study the parton distributionfunction inside the hadron from the first principle.

Lattice QCD Can Study Parton Distribution Function Inside Hadron