  In framework of eigen-functional bosonization method, we introduce an
imaginary phase field to uniquely represent electron correlation, and
demonstrate that the Landau Fermi liquid theory and the Tomonaga-Luttinger
liquid theory can be unified. It is very clear in this framework that the
Tomonaga-Luttinger liquid behavior of one-dimensional interacting electron
gases originates from their Fermi structure, and the non-Landau-Fermi liquid
behavior of 2D interacting electron gases is induced by the long-range electron
interaction, while 3D interacting electron gases generally show the Landau
Fermi liquid behavior.
