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For decades, the difficulty of tackling a strong coupling model with aperturbative approach remained regardless of numerous inquiries. In the currentwork, a typical mean field theory procedure transforms a strong couplingHamiltonian into a weak one, which can be solved within a perturbativeapproach. The Hamiltonian of 2-dimensional free electron gas with Hubbardon-site interaction is calculated as a test of the new procedure. Consequently,the spectral characteristics of the cuprates peak-dip-hump are reproduced. Theresult is compared with the past theoretical investigations, e.g., quantumMonte Carlo method, density matrix renormalization group, tensor networkmethods, etc., which agree well with the spectral curve.

On-site-interaction-induced Peak-dip-hump Characteristics with the Mean Field Theory + Perturbation Approach