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It is shown how Luttinger liquids may be studied using sea-bosons.  The main advantage of the sea-boson method is its ability to provideinformation about short-wavelength physics in addition to the asymptotics andis naturally generalisable to more than one dimension.  In this article, we solve the Luttinger model and the Calogero-Sutherlandmodel, the latter in the weak-coupling limit.  The anomalous exponent we obtain in the former case is identical to the oneobtained by Mattis and Lieb.  We also apply this method to solve the two-dimensional analog of theLuttinger model and show that the system is a Landau Fermi liquid.  Then we solve the model of spinless fermions in one-dimension with long-range  (gauge) interactions and map the Wigner crystal phase of the system.Comment: 19 pages, RevTeX, 3 eps figs, final published versio

Sea-boson theory of Landau-Fermi liquids, Luttinger liquids and Wigner crystals