Mean Field Theories of Quantum Hall Liquids Justified: Variations on the Greiter Wilczek Theme

Abstract

We present a field theoretic variant of the Wilczek -Greiter adiabatic approach to Quantum Hall liquids. Specifically, we define a Chern-Simons-Maxwell theory such that the flux-attachment mean field theory is exact in a certain limit. This permits a systematic way to justify a variety of useful approximate approaches to these problems as constituting the first term in a (still to be developed) systematic expansion about a solvable limit.