Abstract
A new theoretical analysis of the conductivity tensor is developed by use of the composite operator method for the two-dimensional Hubbard model. With the aid of the Ward–Takahashi identities which phrase the charge conservation law, the calculation of the current–current propagator is reduced hierarchically to the current–charge and charge–charge ones. Besides, the fermionic character of the propagating charges is preserved because of a constraining equation with the content of the Pauli principle which uniquely fixes the single-particle dynamics.
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