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A theory for a Fermi-liquid-like state in a system of charged bosons atfilling factor one is developed, working in the lowest Landau level. Theapproach is based on a representation of the problem as fermions with a systemof constraints, introduced by Pasquier and Haldane (unpublished). This makesthe system a gauge theory with gauge algebra W_infty. The low-energy theory isanalyzed based on Hartree-Fock and a corresponding conserving approximation.This is shown to be equivalent to introducing a gauge field, which at longwavelengths gives an infinite-coupling U(1) gauge theory, without aChern-Simons term. The system is compressible, and the Fermi-liquid propertiesare similar, but not identical, to those in the previous U(1) Chern-Simonsfermion theory. The fermions in the theory are effectively neutral but carry adipole moment. The density-density response, longitudinal conductivity, and thecurrent density are considered explicitly.Comment: 32 pages, revtex multicol

Lowest-Landau-level theory of the quantum Hall effect: The Fermi-liquid-like state of bosons at filling factor one