One-Particle Excitation of the Two Dimensional Hubbard Model.

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  • One-Particle Excitation of the Two-Dime

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The real part of the self-energy of interacting two-dimensional electronshas been calculated in the t-matrix approximation.It is shown that the forward scattering results in an anomalous termleading to the vanishing renormalization factor of the one-particleGreen function, which is a non-perturbative effect of the interaction U.The present result is a microscopic demonstration of the claim byAnderson based on the conventional many-body theory.The effect of the damping of the interacting electrons, which has been ignored in reaching above conclusion, has been briefly discussed.

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