Sea-Boson Theory of Landau Fermi Liquids, Luttinger Liquids and Wigner   Crystals
  It is shown how Luttinger liquids may be studied using sea-bosons.   The main advantage of the sea-boson method is its ability to provide information about short-wavelength physics in addition to the asymptotics and is naturally generalisable to more than one dimension.   In this article, we solve the Luttinger model and the Calogero-Sutherland model, the latter in the weak-coupling limit.   The anomalous exponent we obtain in the former case is identical to the one obtained by Mattis and Lieb.   We also apply this method to solve the two-dimensional analog of the Luttinger 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. 
Girish S. Setlur (IMSc. Chennai, India)