Correct Formulation Of Lattice QCD Method To Study Hadron Formation From Quarks and Gluons

Abstract

The present lattice QCD method can not study the hadron formation from the quarks and gluons. This is because it operates the unphysical QCD Hamiltonian of all the quarks plus antiquarks plus gluons inside the hadron on the physical energy eigenstate of the hadron to obtain the physical energy eigenvalue of the hadron which is not correct because of the non-vanishing boundary surface term in the energy conservation equation in QCD due to the confinement of quarks, antiquarks and gluons inside the finite size hadron. In this paper we present the correct formulation of the lattice QCD method to study the physical hadron formation from the unphysical quarks, antiquarks and gluons inside the hadron by using this non-vanishing boundary surface term in the lattice QCD.