Abstract
Recently, by using the spin wave theory, some authors [14] calculated analytically the renormalization coefficient of a simplified strongly correlated lattice Fermion system and obtained a nonvanishing value in the thermodynamic limit. In this article, under the assumption of the translation invariance, we shall show that this coefficient is, in fact, zero for an interacting lattice Fermion system. Our result is consistent with Anderson's proposition [13]. Finally, we discuss briefly on the similar problem for an interacting lattice boson system.
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